James J. Hebda - Author Profile

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Hebda, James J.

Author ID:	hebda.james-j
Published as:	Hebda, James J.; Hebda, James; Hebda, J. more...less
Further Spellings:	Hebda, James Joseph
Homepage:	https://mathstat.slu.edu/people/hebda
External Links:	MGP · Wikidata · dblp

Documents Indexed:	42 Publications since 1981, including 2 Additional arXiv Preprints
Reviewing Activity:	314 Reviews
Co-Authors:	7 Co-Authors with 19 Joint Publications
	93 Co-Co-Authors

all top 5

Co-Authors

21	single-authored
8	Blumenthal, Robert A.
5	Tsau, Chichen M.
3	Ikeda, Yutaka
2	Goodwillie, Thomas Gehret
2	Katz, Mikhail G.
1	Hsieh, Chun-Chung
1	Ku, Wah-Kwan

all top 5

Serials

4	Geometriae Dedicata
4	Pacific Journal of Mathematics
4	Tôhoku Mathematical Journal. Second Series
4	Transactions of the American Mathematical Society
3	Indiana University Mathematics Journal
3	Differential Geometry and its Applications
2	Journal of Differential Geometry
2	Comptes Rendus de l’Académie des Sciences. Série I
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Annales de l’Institut Fourier
1	Canadian Mathematical Bulletin
1	Duke Mathematical Journal
1	Illinois Journal of Mathematics
1	International Journal of Mathematics and Mathematical Sciences
1	Inventiones Mathematicae
1	Journal of Geometry
1	Nagoya Mathematical Journal
1	Proceedings of the American Mathematical Society
1	The Quarterly Journal of Mathematics. Oxford Second Series
1	Annals of Global Analysis and Geometry
1	Journal of Knot Theory and its Ramifications
1	Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series

Fields

38	Differential geometry (53-XX)
15	Manifolds and cell complexes (57-XX)
4	Algebraic topology (55-XX)
3	Global analysis, analysis on manifolds (58-XX)
1	Topological groups, Lie groups (22-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

34 Publications have been cited 229 times in 178 Documents	Cited by ▼	Year ▼
Ehresmann connections for foliations. Zbl 0511.57021 Blumenthal, Robert A.; Hebda, James J.	32	1984
De Rham decomposition theorems for foliated manifolds. Zbl 0487.57010 Blumenthal, Robert A.; Hebda, James J.	27	1983
Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations. Zbl 0572.57016 Blumenthal, Robert; Hebda, James J.	23	1984
Metric structure of cut loci in surfaces and Ambrose’s problem. Zbl 0823.53031 Hebda, James J.	22	1994
Curvature and focal points in Riemannian foliations. Zbl 0596.53027 Hebda, James J.	15	1986
Some lower bounds for the area of surfaces. Zbl 0482.53028 Hebda, James J.	13	1982
An analogue of the holonomy bundle for a foliated manifold. Zbl 0632.53033 Blumenthal, Robert A.; Hebda, James J.	10	1988
The collars of a Riemannian manifold and stable isosystolic inequalities. Zbl 0607.53043 Hebda, James J.	10	1986
The regular focal locus. Zbl 0492.53040 Hebda, James J.	8	1981
Parallel translation of curvature along geodesics. Zbl 0615.53026 Hebda, James J.	8	1987
Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie. Zbl 0839.53040 Hebda, James J.	6	1995
The local homology of cut loci in Riemannian manifolds. Zbl 0512.53041 Hebda, James J.	6	1983
An example relevant to curvature pinching theorems for Riemannian foliations. Zbl 0745.53024 Hebda, James J.	5	1992
Conjugate and cut loci and the Cartan-Ambrose-Hicks theorem. Zbl 0485.53040 Hebda, James J.	5	1982
Examples of Thomas-Whitehead projective connections. Zbl 0897.53009 Hebda, James; Roberts, Craig	4	1998
Two geometric inequalities for the torus. Zbl 0721.53040 Hebda, James J.	3	1991
Linking number of singular links and the Seifert matrix. Zbl 1141.57003 Hebda, James J.; Hsieh, Chun-Chung; Tsau, Chichen M.	3	2007
The possible cohomology of certain types of taut submanifolds. Zbl 0656.53059 Hebda, James J.	3	1988
The primitive length spectrum of 2-D tori and generalized Loewner inequalities. Zbl 1433.53057 Hebda, James J.	3	2019
Normal holonomy and writhing number of polygonal knots. Zbl 1059.57003 Hebda, James J.; Tsau, Chichen M.	2	2002
Some new tight embeddings which cannot be made taut. Zbl 0545.53049 Hebda, James J.	2	1984
A topological criterion for group decompositions. Zbl 0651.22002 Hebda, J.; Moylan, P.	2	1988
Replacing the lower curvature bound in Toponogov’s comparison theorem by a weaker hypothesis. Zbl 1376.53061 Hebda, James J.; Ikeda, Yutaka	2	2017
Blaschke manifolds with taut geodesics. Zbl 0461.53026 Hebda, James J.	2	1981
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0674.53040 Blumenthal, Robert A.; Hebda, James J.	2	1989
Normal holonomy and writhing number of smooth knots. Zbl 1162.57009 Hebda, James J.; Tsau, Chichen M.	2	2008
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0625.53030 Blumenthal, Robert A.; Hebda, James J.	2	1987
Projective maps of rank \(\geq 2\) are strongly projective. Zbl 0977.53010 Hebda, James J.	1	2000
An inequality between the volume and the convexity radius of a Riemannian manifold. Zbl 0495.53039 Hebda, James J.	1	1982
Manifolds admitting taut hyperspheres. Zbl 0451.53029 Hebda, James J.	1	1981
Insecurity is generic in a conformal class of Riemannian metrics. Zbl 1341.53062 Hebda, James J.; Ku, Wah-Kwan	1	2016
Extending Gromov’s optimal systolic inequality. Zbl 1526.57023 Goodwillie, Thomas G.; Hebda, James J.; Katz, Mikhail G.	1	2023
Heterogeneous Riemannian manifolds. Zbl 1202.53037 Hebda, James J.	1	2010
An approach to higher order linking invariants through holonomy and curvature. Zbl 1283.57011 Hebda, James J.; Tsau, Chichen M.	1	2012
Extending Gromov’s optimal systolic inequality. Zbl 1526.57023 Goodwillie, Thomas G.; Hebda, James J.; Katz, Mikhail G.	1	2023
The primitive length spectrum of 2-D tori and generalized Loewner inequalities. Zbl 1433.53057 Hebda, James J.	3	2019
Replacing the lower curvature bound in Toponogov’s comparison theorem by a weaker hypothesis. Zbl 1376.53061 Hebda, James J.; Ikeda, Yutaka	2	2017
Insecurity is generic in a conformal class of Riemannian metrics. Zbl 1341.53062 Hebda, James J.; Ku, Wah-Kwan	1	2016
An approach to higher order linking invariants through holonomy and curvature. Zbl 1283.57011 Hebda, James J.; Tsau, Chichen M.	1	2012
Heterogeneous Riemannian manifolds. Zbl 1202.53037 Hebda, James J.	1	2010
Normal holonomy and writhing number of smooth knots. Zbl 1162.57009 Hebda, James J.; Tsau, Chichen M.	2	2008
Linking number of singular links and the Seifert matrix. Zbl 1141.57003 Hebda, James J.; Hsieh, Chun-Chung; Tsau, Chichen M.	3	2007
Normal holonomy and writhing number of polygonal knots. Zbl 1059.57003 Hebda, James J.; Tsau, Chichen M.	2	2002
Projective maps of rank \(\geq 2\) are strongly projective. Zbl 0977.53010 Hebda, James J.	1	2000
Examples of Thomas-Whitehead projective connections. Zbl 0897.53009 Hebda, James; Roberts, Craig	4	1998
Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie. Zbl 0839.53040 Hebda, James J.	6	1995
Metric structure of cut loci in surfaces and Ambrose’s problem. Zbl 0823.53031 Hebda, James J.	22	1994
An example relevant to curvature pinching theorems for Riemannian foliations. Zbl 0745.53024 Hebda, James J.	5	1992
Two geometric inequalities for the torus. Zbl 0721.53040 Hebda, James J.	3	1991
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0674.53040 Blumenthal, Robert A.; Hebda, James J.	2	1989
An analogue of the holonomy bundle for a foliated manifold. Zbl 0632.53033 Blumenthal, Robert A.; Hebda, James J.	10	1988
The possible cohomology of certain types of taut submanifolds. Zbl 0656.53059 Hebda, James J.	3	1988
A topological criterion for group decompositions. Zbl 0651.22002 Hebda, J.; Moylan, P.	2	1988
Parallel translation of curvature along geodesics. Zbl 0615.53026 Hebda, James J.	8	1987
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0625.53030 Blumenthal, Robert A.; Hebda, James J.	2	1987
Curvature and focal points in Riemannian foliations. Zbl 0596.53027 Hebda, James J.	15	1986
The collars of a Riemannian manifold and stable isosystolic inequalities. Zbl 0607.53043 Hebda, James J.	10	1986
Ehresmann connections for foliations. Zbl 0511.57021 Blumenthal, Robert A.; Hebda, James J.	32	1984
Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations. Zbl 0572.57016 Blumenthal, Robert; Hebda, James J.	23	1984
Some new tight embeddings which cannot be made taut. Zbl 0545.53049 Hebda, James J.	2	1984
De Rham decomposition theorems for foliated manifolds. Zbl 0487.57010 Blumenthal, Robert A.; Hebda, James J.	27	1983
The local homology of cut loci in Riemannian manifolds. Zbl 0512.53041 Hebda, James J.	6	1983
Some lower bounds for the area of surfaces. Zbl 0482.53028 Hebda, James J.	13	1982
Conjugate and cut loci and the Cartan-Ambrose-Hicks theorem. Zbl 0485.53040 Hebda, James J.	5	1982
An inequality between the volume and the convexity radius of a Riemannian manifold. Zbl 0495.53039 Hebda, James J.	1	1982
The regular focal locus. Zbl 0492.53040 Hebda, James J.	8	1981
Blaschke manifolds with taut geodesics. Zbl 0461.53026 Hebda, James J.	2	1981
Manifolds admitting taut hyperspheres. Zbl 0451.53029 Hebda, James J.	1	1981

all cited Publications top 5 cited Publications

all top 5

Cited by 190 Authors

17	Zhukova, Nina Ivanovna
12	Hebda, James J.
9	Katz, Mikhail G.
7	Tanaka, Minoru
6	Koike, Naoyuki
6	Sabourau, Stéphane
5	Itoh, Jin-ichi
4	Guijarro, Luis
4	Habib, Georges
4	Sinclair, Robert
4	Töben, Dirk
4	Vîlcu, Costin
3	Blumenthal, Robert A.
3	Caramello, Francisco C. jun..
3	Hsieh, Chun-Chung
3	Jung, Seoung Dal
3	Reckziegel, Helmut
3	Richardson, Ken V.
3	Tsau, Chichen M.
3	Wolak, Robert A.
2	Akamatsu, Toyohiro
2	Angulo Ardoy, Pablo
2	Babenko, Ivan K.
2	Cairns, Grant
2	Chubarov, Georgy V.
2	El Mir, Chady
2	Galaz-Garcia, Fernando
2	Knarr, Norbert
2	Kondo, Kei-Ichi
2	Kramer, Linus
2	Oshikiri, Gen-ichi
2	Park, Jeonghyeong
2	Reznikov, Alexander G.
2	Rotman, Regina
2	Rovenskiĭ, Vladimir Yuzefovich
2	Rudyak, Yuli B.
2	Saunders, David J.
2	Sheina, Kseniya Igorevna
2	Tondeur, Philippe
2	Yamaguchi, Masaru
2	Zamfirescu, Tudor I.
1	Abe, Naoto
1	Alexandrino, Marcos M.
1	Álvarez López, Jesús Antonio
1	Angulo, Pablo
1	Aydin, Sibel Gerdan
1	Ballmann, Hans Werner
1	Bande, Gianluca
1	Bangert, Victor
1	Barbosa, Ezequiel R.
1	Barki, Hichem
1	Basu, Somnath
1	Bayturaev, A. M.
1	Bazaĭkin, Yaroslav Vladimirovich
1	Beach, Isabel
1	Bidar, Mohammadreza
1	Blair, David E.
1	Bonnard, Bernard
1	Borghini, Eugenio
1	Boualem, Hassan
1	Bugajska, Krystyna M.
1	Caillau, Jean-Baptiste
1	Cappelletti Montano, Beniamino
1	Carreras, Francisco J.
1	Chebochko, N. G.
1	Chitour, Yacine
1	Chruściel, Piotr Tadeusz
1	Crampin, Mike
1	Curras Bosch, Carlos
1	Dajczer, Marcos
1	DeVito, Jason
1	Diop, El Hadji Cheikh Mbacké
1	Dolgonosova, Anna Yu.
1	El Chami, Fida
1	Eltzner, Benjamin
1	Erickson, Jacob W.
1	Escher, Christine M.
1	Feres, Renato
1	Figalli, Alessio
1	Foufou, Sebti
1	Frances, Charles
1	Freitas, Pedro
1	Fu, Joseph Howland Guthrie
1	Galaev, Anton S.
1	Galloway, Gregory J.
1	Gamkrelidze, Revaz Valerianovich
1	Garnier, Lionel
1	Ge, Jianquan
1	Générau, François
1	Gilkey, Peter B.
1	Giménez, Fernando
1	Ginoux, Nicolas
1	Gorodski, Claudio
1	Grong, Erlend
1	Grundhöfer, Theo
1	Hasegawa, Kazuyuki
1	Hauswirth, Laurent
1	Hladky, Robert Keith
1	Hoelscher, Corey A.
1	Howard, Ralph E.
...and 90 more Authors

all top 5

Cited in 78 Serials

13	Tôhoku Mathematical Journal. Second Series
11	Transactions of the American Mathematical Society
8	Geometriae Dedicata
8	Proceedings of the American Mathematical Society
8	Annals of Global Analysis and Geometry
7	Journal of Mathematical Sciences (New York)
6	Annales de l’Institut Fourier
6	Differential Geometry and its Applications
6	The Journal of Geometric Analysis
5	Journal of Geometry and Physics
5	Mathematische Annalen
5	Mathematische Zeitschrift
4	Journal of Knot Theory and its Ramifications
3	Communications on Pure and Applied Mathematics
3	Kodai Mathematical Journal
3	Manuscripta Mathematica
3	Results in Mathematics
2	Israel Journal of Mathematics
2	Compositio Mathematica
2	Journal of the Mathematical Society of Japan
2	Pacific Journal of Mathematics
2	Tokyo Journal of Mathematics
2	Geometric and Functional Analysis. GAFA
2	Indagationes Mathematicae. New Series
2	Lobachevskii Journal of Mathematics
2	Algebraic & Geometric Topology
2	Comptes Rendus. Mathématique. Académie des Sciences, Paris
2	Ufimskiĭ Matematicheskiĭ Zhurnal
2	European Journal of Mathematics
1	Archive for Rational Mechanics and Analysis
1	Computers & Mathematics with Applications
1	Discrete Mathematics
1	Journal of Mathematical Physics
1	Letters in Mathematical Physics
1	Mathematical Notes
1	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1	Acta Mathematica
1	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1	Functional Analysis and its Applications
1	Glasgow Mathematical Journal
1	Illinois Journal of Mathematics
1	Indiana University Mathematics Journal
1	International Journal of Mathematics and Mathematical Sciences
1	Inventiones Mathematicae
1	Journal of Geometry
1	Journal für die Reine und Angewandte Mathematik
1	Mathematische Nachrichten
1	Nagoya Mathematical Journal
1	Osaka Journal of Mathematics
1	Proceedings of the London Mathematical Society. Third Series
1	Ricerche di Matematica
1	Siberian Mathematical Journal
1	Topology and its Applications
1	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1	Revista Matemática Iberoamericana
1	International Journal of Mathematics
1	Expositiones Mathematicae
1	Russian Mathematics
1	Calculus of Variations and Partial Differential Equations
1	Journal of Difference Equations and Applications
1	Izvestiya: Mathematics
1	Discrete and Continuous Dynamical Systems
1	Documenta Mathematica
1	Transformation Groups
1	Balkan Journal of Geometry and its Applications (BJGA)
1	Conformal Geometry and Dynamics
1	Chaos
1	Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1	Differential Equations
1	Journal of the Australian Mathematical Society
1	Acta Mathematica Scientia. Series B. (English Edition)
1	International Journal of Geometric Methods in Modern Physics
1	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1	Proceedings of the Steklov Institute of Mathematics
1	Journal of Topology and Analysis
1	Communications in Mathematics
1	Open Mathematics
1	Applied Mathematics and Nonlinear Sciences

all top 5

Cited in 29 Fields

161	Differential geometry (53-XX)
60	Manifolds and cell complexes (57-XX)
28	Global analysis, analysis on manifolds (58-XX)
12	Algebraic topology (55-XX)
9	Dynamical systems and ergodic theory (37-XX)
5	Topological groups, Lie groups (22-XX)
5	Partial differential equations (35-XX)
4	Convex and discrete geometry (52-XX)
3	Algebraic geometry (14-XX)
3	Group theory and generalizations (20-XX)
3	Functions of a complex variable (30-XX)
3	Calculus of variations and optimal control; optimization (49-XX)
2	Combinatorics (05-XX)
2	Real functions (26-XX)
2	Several complex variables and analytic spaces (32-XX)
2	Ordinary differential equations (34-XX)
2	Abstract harmonic analysis (43-XX)
2	Geometry (51-XX)
2	General topology (54-XX)
2	Probability theory and stochastic processes (60-XX)
2	Quantum theory (81-XX)
1	General and overarching topics; collections (00-XX)
1	Measure and integration (28-XX)
1	Potential theory (31-XX)
1	Statistics (62-XX)
1	Numerical analysis (65-XX)
1	Computer science (68-XX)
1	Mechanics of particles and systems (70-XX)
1	Systems theory; control (93-XX)

Citations by Year

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