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Bettiol, Renato G.

Co-Author Distance
Author ID: bettiol.renato-g Recent zbMATH articles by "Bettiol, Renato G."
Published as: Bettiol, Renato G.; Bettiol, R. G.
Videos: carmin.tv
Documents Indexed: 39 Publications since 2009, including 1 Book and 7 Additional arXiv Preprints
Reviewing Activity: 52 Reviews
Co-Authors: 16 Co-Authors with 36 Joint Publications
426 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
19 Piccione, Paolo
7 Mendes, Ricardo A. E.
3 Kummer, Mario Denis
3 Lauret, Emilio A.
3 Santoro, Bianca
3 Siciliano, Gaetano
2 Alexandrino, Marcos M.
2 Derdzinski, Andrzej
2 Goodman, Mcfeely Jackson
2 Krishnan, Anusha M.
1 Giambò, Roberto
1 González, María del Mar
1 Maalaoui, Ali
1 Mossa, Roberto
1 Schmidt, Benjamin
1 Sire, Yannick
all top 5

Serials

2 IMRN. International Mathematics Research Notices
2 The Journal of Geometric Analysis
2 Calculus of Variations and Partial Differential Equations
2 Matemática Contemporânea
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Transactions of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Notices of the American Mathematical Society
1 Communications in Analysis and Geometry
1 Topological Methods in Nonlinear Analysis
1 Selecta Mathematica. New Series
1 Transformation Groups
1 The Asian Journal of Mathematics
1 São Paulo Journal of Mathematical Sciences
1 SIAM Journal on Applied Algebra and Geometry
all top 5

Fields

33 Differential geometry (53-XX)
19 Global analysis, analysis on manifolds (58-XX)
7 Partial differential equations (35-XX)
6 Manifolds and cell complexes (57-XX)
4 Topological groups, Lie groups (22-XX)
3 Ordinary differential equations (34-XX)
3 Operations research, mathematical programming (90-XX)
2 Algebraic geometry (14-XX)
2 Functional analysis (46-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Convex and discrete geometry (52-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

26 Publications have been cited 238 times in 162 Documents Cited by ▼ Year ▼
Lie groups and geometric aspects of isometric actions. Zbl 1322.22001
Alexandrino, Marcos M.; Bettiol, Renato G.
60
2015
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres. Zbl 1272.53042
Bettiol, Renato G.; Piccione, Paolo
21
2013
Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions. Zbl 1287.53030
Bettiol, Renato G.; Piccione, Paolo
20
2013
Bifurcation of periodic solutions to the singular Yamabe problem on spheres. Zbl 1348.53044
Bettiol, Renato G.; Piccione, Paolo; Santoro, Bianca
13
2016
Nonuniqueness of conformal metrics with constant \(Q\)-curvature. Zbl 1478.53063
Bettiol, Renato G.; Piccione, Paolo; Sire, Yannick
11
2021
Positive biorthogonal curvature on \(S^2\times S^2\). Zbl 1348.53041
Bettiol, Renato G.
10
2014
Three-manifolds with many flat planes. Zbl 1377.53021
Bettiol, Renato G.; Schmidt, Benjamin
8
2018
Infinitely many solutions to the Yamabe problem on noncompact manifolds. (Un nombre infini de solutions pour le problème de Yamabe sur les variétés non compactes.) Zbl 1437.53023
Bettiol, Renato G.; Piccione, Paolo
8
2018
Strongly nonnegative curvature. Zbl 1377.53020
Bettiol, Renato G.; Mendes, Ricardo A. E.
8
2017
Equivariant bifurcation in geometric variational problems. Zbl 1321.58010
Bettiol, Renato G.; Piccione, Paolo; Siciliano, Gaetano
7
2014
Flag manifolds with strongly positive curvature. Zbl 1360.53056
Bettiol, Renato G.; Mendes, Ricardo A. E.
7
2015
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems. Zbl 1317.47057
Bettiol, Renato G.; Piccione, Paolo; Siciliano, Gaetano
7
2015
Teichmüller theory and collapse of flat manifolds. Zbl 1402.32014
Bettiol, Renato G.; Derdzinski, Andrzej; Piccione, Paolo
7
2018
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature. Zbl 1433.53055
Bettiol, Renato G.; Krishnan, Anusha M.
7
2019
Convex algebraic geometry of curvature operators. Zbl 1475.14112
Bettiol, Renato G.; Kummer, Mario; Mendes, Ricardo A. E.
5
2021
Four-dimensional manifolds with positive biorthogonal curvature. Zbl 1381.53060
Bettiol, Renato G.
5
2017
Delaunay-type hypersurfaces in cohomogeneity one manifolds. Zbl 1404.53072
Bettiol, Renato G.; Piccione, Paolo
5
2016
Sectional curvature and Weitzenböck formulae. Zbl 1507.53030
Bettiol, Renato G.; Mendes, Ricardo A. E.
5
2022
Genericity of nondegenerate geodesics with general boundary conditions. Zbl 1213.58012
Bettiol, Renato G.; Giambò, Roberto
4
2010
Strongly positive curvature. Zbl 1395.53058
Bettiol, Renato G.; Mendes, Ricardo A. E.
4
2018
The first eigenvalue of a homogeneous CROSS. Zbl 1493.53076
Bettiol, Renato G.; Lauret, Emilio A.; Piccione, Paolo
4
2022
Deformations of free boundary CMC hypersurfaces. Zbl 1390.53056
Bettiol, Renato G.; Piccione, Paolo; Santoro, Bianca
4
2017
Deforming solutions of geometric variational problems with varying symmetry groups. Zbl 1320.58004
Bettiol, R. G.; Piccione, P.; Siciliano, G.
3
2014
Instability and bifurcation. Zbl 1494.37030
Bettiol, Renato G.; Piccione, Paolo
2
2020
Ricci flow does not preserve positive sectional curvature in dimension four. Zbl 1508.53046
Bettiol, Renato G.; Krishnan, Anusha M.
2
2023
Full Laplace spectrum of distance spheres in symmetric spaces of rank one. Zbl 1526.58008
Bettiol, Renato G.; Lauret, Emilio A.; Piccione, Paolo
1
2022
Ricci flow does not preserve positive sectional curvature in dimension four. Zbl 1508.53046
Bettiol, Renato G.; Krishnan, Anusha M.
2
2023
Sectional curvature and Weitzenböck formulae. Zbl 1507.53030
Bettiol, Renato G.; Mendes, Ricardo A. E.
5
2022
The first eigenvalue of a homogeneous CROSS. Zbl 1493.53076
Bettiol, Renato G.; Lauret, Emilio A.; Piccione, Paolo
4
2022
Full Laplace spectrum of distance spheres in symmetric spaces of rank one. Zbl 1526.58008
Bettiol, Renato G.; Lauret, Emilio A.; Piccione, Paolo
1
2022
Nonuniqueness of conformal metrics with constant \(Q\)-curvature. Zbl 1478.53063
Bettiol, Renato G.; Piccione, Paolo; Sire, Yannick
11
2021
Convex algebraic geometry of curvature operators. Zbl 1475.14112
Bettiol, Renato G.; Kummer, Mario; Mendes, Ricardo A. E.
5
2021
Instability and bifurcation. Zbl 1494.37030
Bettiol, Renato G.; Piccione, Paolo
2
2020
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature. Zbl 1433.53055
Bettiol, Renato G.; Krishnan, Anusha M.
7
2019
Three-manifolds with many flat planes. Zbl 1377.53021
Bettiol, Renato G.; Schmidt, Benjamin
8
2018
Infinitely many solutions to the Yamabe problem on noncompact manifolds. (Un nombre infini de solutions pour le problème de Yamabe sur les variétés non compactes.) Zbl 1437.53023
Bettiol, Renato G.; Piccione, Paolo
8
2018
Teichmüller theory and collapse of flat manifolds. Zbl 1402.32014
Bettiol, Renato G.; Derdzinski, Andrzej; Piccione, Paolo
7
2018
Strongly positive curvature. Zbl 1395.53058
Bettiol, Renato G.; Mendes, Ricardo A. E.
4
2018
Strongly nonnegative curvature. Zbl 1377.53020
Bettiol, Renato G.; Mendes, Ricardo A. E.
8
2017
Four-dimensional manifolds with positive biorthogonal curvature. Zbl 1381.53060
Bettiol, Renato G.
5
2017
Deformations of free boundary CMC hypersurfaces. Zbl 1390.53056
Bettiol, Renato G.; Piccione, Paolo; Santoro, Bianca
4
2017
Bifurcation of periodic solutions to the singular Yamabe problem on spheres. Zbl 1348.53044
Bettiol, Renato G.; Piccione, Paolo; Santoro, Bianca
13
2016
Delaunay-type hypersurfaces in cohomogeneity one manifolds. Zbl 1404.53072
Bettiol, Renato G.; Piccione, Paolo
5
2016
Lie groups and geometric aspects of isometric actions. Zbl 1322.22001
Alexandrino, Marcos M.; Bettiol, Renato G.
60
2015
Flag manifolds with strongly positive curvature. Zbl 1360.53056
Bettiol, Renato G.; Mendes, Ricardo A. E.
7
2015
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems. Zbl 1317.47057
Bettiol, Renato G.; Piccione, Paolo; Siciliano, Gaetano
7
2015
Positive biorthogonal curvature on \(S^2\times S^2\). Zbl 1348.53041
Bettiol, Renato G.
10
2014
Equivariant bifurcation in geometric variational problems. Zbl 1321.58010
Bettiol, Renato G.; Piccione, Paolo; Siciliano, Gaetano
7
2014
Deforming solutions of geometric variational problems with varying symmetry groups. Zbl 1320.58004
Bettiol, R. G.; Piccione, P.; Siciliano, G.
3
2014
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres. Zbl 1272.53042
Bettiol, Renato G.; Piccione, Paolo
21
2013
Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions. Zbl 1287.53030
Bettiol, Renato G.; Piccione, Paolo
20
2013
Genericity of nondegenerate geodesics with general boundary conditions. Zbl 1213.58012
Bettiol, Renato G.; Giambò, Roberto
4
2010
all cited Publications top 5 cited Publications
all top 5

Cited by 210 Authors

17 Bettiol, Renato G.
12 Piccione, Paolo
9 Petean, Jimmy
6 Corro, Diego
5 Domínguez-Vázquez, Miguel
5 González-Álvaro, David
5 Mendes, Ricardo A. E.
4 Aazami, Amir Babak
4 Alexandrino, Marcos M.
4 Lauret, Emilio A.
3 Alves, Benigno O.
3 Galaz-Garcia, Fernando
3 Javaloyes, Miguel Angel
3 Julio-Batalla, Jurgen
3 Krishnan, Anusha M.
3 Lin, Samuel
3 Núñez-Zimbrón, Jesús
3 Ramalho, André F. A.
3 Ribeiro, Ernani jun.
3 Siciliano, Gaetano
3 Velásquez, Marco Antonio Lázaro
2 Andrade, João Henrique
2 Ben Ayed, Mohamed
2 Caddeo, Renzo
2 Caramello, Francisco C. jun..
2 Cárdenas, Elkin D.
2 Cavenaghi, Leonardo Francisco
2 de Araujo Costa, Ézio
2 Derdzinski, Andrzej
2 Di Giovanni, Francesco
2 Díaz-Ramos, José Carlos
2 e Silva, Renato J. M.
2 El Mehdi, Khalil O.
2 Fernández, Juan Carlos
2 González, María del Mar
2 Goodman, Mcfeely Jackson
2 Herrera, Jónatan
2 Lu, Guangcun
2 Maalaoui, Ali
2 Moreira, Ana Claudia
2 Onnis, Irene Ignazia
2 Otoba, Nobuhiko
2 Piu, Paola
2 Rey, Carolina Ana
2 Rufino, Elzimar
2 Ruiz Zepeda, Juan Miguel
2 Sanmartín-López, Víctor
2 Santos-Rodríguez, Jaime
2 Sati, Hisham
2 Schmidt, Benjamin
2 Schreiber, Urs
2 Sierra, Willy
2 Sperança, Llohann Dallagnol
2 Stepanov, Sergeĭ Evgen’evich
2 Verdiani, Luigi
2 Xiong, Jingang
2 Zarei, Masoumeh
2 Ziller, Wolfgang
2 Zimmermann, Ralf
1 Absil, Pierre-Antoine
1 Agricola, Ilka
1 Alarcón, Salomón
1 Aleksandrova, I. A.
1 Alonso, Izar
1 Amann, Manuel
1 Ambrozio, Lucas C.
1 Anastassiou, Stavros
1 Anderson, Austin
1 Barbosa, Ezequiel R.
1 Barrantes González, Héctor
1 Belegradek, Igor
1 Belova, Olga O.
1 Bendokat, Thomas
1 Betancourt de la Parra, Alejandro
1 Biliotti, Leonardo
1 Brubaker, Nicholas D.
1 Bustamante, Ignacio
1 Bustos, Daniel F.
1 Buttsworth, Timothy
1 Caju, Rayssa
1 Campagnolo, Caterina
1 Cao, Xiaodong
1 Cárdenas Diaz, Elkin Dario
1 Carlotto, Alessandro
1 Case, Jeffrey S.
1 de Almeida Cavalcante, Marcos Petrúcio
1 Chen, Niang
1 Cheng, Herng Yi
1 Chirvăsitu, Alexandru
1 Chodosh, Otis
1 Chrysikos, Ioannis
1 Connell, Chris
1 da Silva Moreira, Ana Cláudia
1 da Silva, Jonatan Floriano
1 Dávila, Jorge
1 Dehkordi, Hengameh Raeisi
1 Del Barco, Viviana J.
1 Deshmukh, Sharief
1 Dessai, Anand Naique
1 Dileo, Giulia
...and 110 more Authors
all top 5

Cited in 72 Serials

14 The Journal of Geometric Analysis
10 Differential Geometry and its Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Calculus of Variations and Partial Differential Equations
5 Mathematische Nachrichten
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Annals of Global Analysis and Geometry
4 Annales de l’Institut Fourier
4 Manuscripta Mathematica
4 Mathematische Annalen
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Journal of Geometry and Physics
3 Bulletin of the London Mathematical Society
3 Journal of Differential Equations
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Transformation Groups
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Advances in Mathematics
2 Glasgow Mathematical Journal
2 Indiana University Mathematics Journal
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Potential Analysis
2 Discrete and Continuous Dynamical Systems
2 Geometry & Topology
2 Mediterranean Journal of Mathematics
2 São Paulo Journal of Mathematical Sciences
1 General Relativity and Gravitation
1 Israel Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Compositio Mathematica
1 Geometriae Dedicata
1 Hiroshima Mathematical Journal
1 Journal of Differential Geometry
1 Mathematika
1 Michigan Mathematical Journal
1 Revista de la Unión Matemática Argentina
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Extracta Mathematicae
1 Revista Matemática Iberoamericana
1 Publicacions Matemàtiques
1 International Journal of Foundations of Computer Science
1 Communications in Partial Differential Equations
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Journal of Lie Theory
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Journal of Inequalities and Applications
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Advances in Geometry
1 Advanced Nonlinear Studies
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Fixed Point Theory and Applications
1 Journal of Topology and Analysis
1 Science China. Mathematics
1 Kyoto Journal of Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Advances in Nonlinear Analysis
1 Transactions of the American Mathematical Society. Series B
1 SIAM Journal on Applied Algebra and Geometry
all top 5

Cited in 29 Fields

127 Differential geometry (53-XX)
60 Global analysis, analysis on manifolds (58-XX)
28 Partial differential equations (35-XX)
22 Manifolds and cell complexes (57-XX)
7 Topological groups, Lie groups (22-XX)
6 Algebraic geometry (14-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Algebraic topology (55-XX)
4 Quantum theory (81-XX)
4 Relativity and gravitational theory (83-XX)
3 \(K\)-theory (19-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Numerical analysis (65-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Citations by Year