Found 234 Documents (Results 1–100)
Translation factorable (TF) surfaces in three-dimensional isotropic space: unveiling future prospects for control systems. (English) Zbl 07896235
Rotational hypersurfaces constructed by double rotation in five dimensional Euclidean space \(\mathbb{E}^5\). (English) Zbl 07859395
Biconservative surfaces in the 4-dimensional Euclidean sphere. (English) Zbl 1529.53059
Reviewer: Ye-Lin Ou (Commerce)
Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group \(\mathbb{H}_3\). (English) Zbl 1538.53022
Isoperimetric upper bounds and Reilly-type inequalities for the first eigenvalue of the \(p\)-biharmonic operator. (English) Zbl 07723588
\(L_1\)-\(2\)-type surfaces in 3-dimensional de Sitter and anti de Sitter spaces. (English) Zbl 1529.53063
Reviewer: Parviz Ahmadi (Zanjan)
Differential geometry of 1-type submanifolds and submanifolds with 1-type Gauss map. (English) Zbl 1517.53058
Biharmonic PNMCV submanifolds in Euclidean 5-space. (English) Zbl 1522.53051
Reviewer: Ye-Lin Ou (Commerce)
Maximal rotational hypersurfaces having spacelike axis, spacelike profile curve in Minkowski geometry. (English) Zbl 07910319
Singh, Sandeep (ed.) et al., Algebra, analysis, and associated topics. Cham: Birkhäuser. Trends Math., 1-10 (2022).
MSC:
11Bxx
Bi-rotational hypersurface satisfying \(\Delta^{III} \mathbf{x} = \mathcal{A} \mathbf{x}\) in 4-space. (English) Zbl 07854373
Study on the Möbius rigidity of a class of submanifolds in sphere space. (Chinese. English summary) Zbl 07821977
Biharmonic hypersurfaces with recurrent operators in the Euclidean space. (English) Zbl 1522.53053
Reviewer: Ye-Lin Ou (Commerce)
Hypersphere satisfying \(\Delta \mathrm{x}=\mathcal{A} \mathrm{x}\) in 4-space. (English) Zbl 1502.53012
Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space \(\mathbb{E}^4\). (English) Zbl 1500.53010
MSC:
53A07
Biharmonic and biconservative hypersurfaces in space forms. (English) Zbl 1504.53077
Chen, Bang-Yen (ed.) et al., Differential geometry and global analysis. AMS special session honoring the memory of Tadashi Nagano (1930–2017), Denver, CO, USA, January 16, 2020. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 777, 65-90 (2022).
Reviewer: Dorin Andrica (Riyadh)
Area-minimizing cones over Grassmannian manifolds. (English) Zbl 1519.53046
Reviewer: Simona Druta-Romaniuc (Iaşi)
Classifications of tubular surface with \(L_1\)-pointwise 1-type Gauss map in Galilean 3-space \(\mathbb{G}_3\). (English) Zbl 1492.53014
On submanifolds of the unit sphere with vanishing Möbius form and parallel para-Blaschke tensor. (English) Zbl 1491.53021
Translation hypersurfaces in Lorentz-Minkowski spaces satisfying \(L_{n-1}G=AG\). (English) Zbl 07468999
Reviewer: Abhishek Mukherjee (Bardhamān)
Unique continuation property for biharmonic hypersurfaces in spheres. (English) Zbl 1485.58015
Reviewer: Ye-Lin Ou (Commerce)
Totally biharmonic hypersurfaces in space forms and \(3\)-dimensional BCV spaces. (English) Zbl 1475.58008
Reviewer: Ye-Lin Ou (Commerce)
Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space. (English) Zbl 1468.53006
Reviewer: Marcos Craizer (Rio de Janeiro)
CR-submanifolds of Chen-type two in non-flat complex space forms. (English) Zbl 1459.53057
Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 756, 97-110 (2020).
Reflections on some research work of Bang-Yen Chen. (English) Zbl 1459.53002
Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 756, 1-12 (2020).
MSC:
53-03
53B20
53B25
53A15
53A31
53A55
53B35
53C15
53C25
53C35
53C40
53C42
53C43
53C55
53C80
53C99
91B99
Lorentz hypersurfaces in pseudo-Euclidean space \(E_1^5\). (English) Zbl 1455.53083
Reviewer: Andreas Arvanitoyeorgos (Patras)
Nonexistence proper biharmonic Hopf \(QR\)-hypersurfaces in the quaternionic Euclidean space \(Q^n\). (English) Zbl 1453.53063
\(f\)-biharmonic submanifolds of generalized space forms. (English) Zbl 1437.53051
Reviewer: Léonard Todjihounde (Abomey-Calavi)
Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space \(\mathbb{G}_3\). (English) Zbl 07805021
Tubular surface having pointwise 1-type Gauss map in Euclidean 4-space. (English) Zbl 1459.53010
MSC:
53A07
Space-like surfaces in the Minkowski space \(\mathbb{E}_1^4\) with pointwise 1-type Gauss maps. (English) Zbl 1429.53015
Ukr. Math. J. 71, No. 1, 64-80 (2019) and Ukr. Mat. Zh. 71, No. 1, 59-72 (2019).
Ruled surfaces generated by elliptic cylindrical curves in the isotropic space. (English) Zbl 1433.53007
Reviewer: Mircea Crâşmăreanu (Iaşi)
Cheng-Yau operator and Gauss map of rotational hypersurfaces in 4-space. (English) Zbl 1417.53007
MSC:
53A07
Sharp Reilly-type inequalities for a class of elliptic operators on submanifolds. (English) Zbl 1415.58008
Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary. (English) Zbl 1457.53019
Reviewer: Patrick Eberlein (Chapel Hill)
The Gauss map and the third Laplace-Beltrami operator of the rotational hypersurface in 4-space. (English) Zbl 1423.53009
Isometric deformation of \((m,n)\)-type helicoidal surface in the three dimensional Euclidean space. (English) Zbl 1404.53004
MSC:
53A10
Hypersurfaces with generalized 1-type Gauss maps. (English) Zbl 1409.53009
Reviewer: Joseph Malkoun (Hazmieh)
A new type of tubular surface having pointwise \(1\)-type Gauss map in Euclidean \(4\)-space \(\mathbb{E}^{4}\). (English) Zbl 1428.53014
Reviewer: Maria Aparecida Soares Ruas (São Carlos)
Classifications of flat surfaces with generalized 1-type Gauss map in \(\mathbb L^{3}\). (English) Zbl 1394.53009
Generalized null 2-type immersions in Euclidean space. (English) Zbl 1393.53008
Reviewer: N. K. Stephanidis (Thessaloniki)
On isotropic Riemannian manifolds with a semi-symmetric non-metric connection. (English) Zbl 1474.53143
2-type surfaces and quadric hypersurfaces satisfying \(\langle\Delta x,x\rangle=\text{const.}\). (English) Zbl 1395.53064
MSC:
53C40
A complete classification of Blaschke parallel submanifolds with vanishing Möbius form. (English) Zbl 1396.53022
Reviewer: Vladimir Yu. Rovenskij (Nesher)
MSC:
53A30
53B25
Lorentz hypersurfaces satisfying \(\triangle \vec {H}= \alpha \vec {H}\) with non diagonal shape operator. (English) Zbl 1373.53076
On biconservative surfaces. (English) Zbl 1372.53061
Biharmonic hypersurfaces in a sphere. (English) Zbl 1366.53046
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Topics in differential geometry associated with position vector fields on Euclidean submanifolds. (English) Zbl 1362.53005
Complete spacelike submanifolds with parallel mean curvature vector in a semi-Euclidean space. (English) Zbl 1399.53093
Helicoidal surfaces satisfying \({\Delta ^{\mathrm{II}}\mathbf{G}=f(\mathbf{G}+C)}\). (English) Zbl 1362.53011
MSC:
53A05
Some recent progress of biharmonic submanifolds. (English) Zbl 1372.58011
Suceavă, Bogdan D. (ed.) et al., Recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013). AMS special session on geometry of submanifolds, San Francisco State University, San Francisco, CA, USA, October 25–26, 2014, and the AMS special session on recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013), Michigan State University, East Lansing, Ml, USA, March 14–15, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2298-1/pbk; 978-1-4704-3532-5/ebook). Contemporary Mathematics 674, 127-139 (2016).
Reviewer: Vladimir Balan (Bucureşti)
Submanifolds related to Gauss map and some differential operators. (English) Zbl 1355.53007
Suceavă, Bogdan D. (ed.) et al., Recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013). AMS special session on geometry of submanifolds, San Francisco State University, San Francisco, CA, USA, October 25–26, 2014, and the AMS special session on recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013), Michigan State University, East Lansing, Ml, USA, March 14–15, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2298-1/pbk; 978-1-4704-3532-5/ebook). Contemporary Mathematics 674, 89-97 (2016).
Universal inequalities for eigenvalues of a system of elliptic equations of the drifting Laplacian. (English) Zbl 1352.53031
A characterization of the Ejiri torus in \(S^{5}\). (English) Zbl 1356.53016
Reviewer: Luc Vrancken (Valenciennes)
MSC:
53A30
53C42
On the geometry of trapped and marginally trapped submanifolds in Lorentzian space forms. (English) Zbl 1351.53070
Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space. (English) Zbl 1341.53040
Proper biconservative immersions into the Euclidean space. (English) Zbl 1357.58022
Reviewer: Gábor Tóth (Camden)
MSC:
58E20
Biconservative surfaces. (English) Zbl 1337.58008
Reviewer: Anestis Fotiadis (Thessaloniki)
Some classifications of biharmonic Lorentzian hypersurfaces in Minkowski 5-space. (English) Zbl 1334.53054
Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean space. (English) Zbl 1333.53078
Reviewer: David E. Blair (East Lansing)
H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces. (English) Zbl 1332.53012
Reviewer: Uday Chand De (Kolkata)
On biharmonic hypersurfaces with constant scalar curvatures in \(\mathbb S^5\). (English) Zbl 1327.53069
Reilly-type inequalities for \(p\)-Laplacian on compact Riemannian manifolds. (English) Zbl 1334.58018
Minimal immersions of Riemannian manifolds in products of space forms. (English) Zbl 1305.53064
MSC:
53C42
On the Gauss map of surfaces of revolution with nonlightlike axis in Minkowski 3-space. (English) Zbl 1474.53097
Weakly convex biharmonic hypersurfaces in nonpositive curvature space forms are minimal. (English) Zbl 1305.53024
Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor. (English) Zbl 1294.53006
Reviewer: Anestis Fotiadis (Thessaloniki)
On the marginally trapped surfaces in 4-dimensional space-times with finite type Gauss map. (English) Zbl 1286.83067
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