Results 41 to 50 of about 5,816,652 (357)
Isometric immersions of warped products
Differential Geometry and Its Applications, 1996 We derive a decomposition theorem for an isometric immersion f: M → Nκn of a warped product M into the standard n-space Nκn of constant curvature κ and classify all warped product decompositions of the standard ...
Stefan Nölker, Nölker, Stefan
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Curvature Estimates for Submanifolds in Warped Products [PDF]
Results in Mathematics, 2011 We give estimates of the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space
P. Piccione +7 more
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On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products
Advances in Mathematical Physics, 2023 We study constant mean curvature hypersurfaces constructed over the fiber Mn of warped products I×fMn. In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces ...
Ning Zhang, Zhangsheng Zhu
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A Pinching Theorem for Compact Minimal Submanifolds in Warped Products
Mathematics, 2020 Let Sm(c) be a Euclidean sphere of curvature c>0 and R be a Euclidean line. We prove a pinching theorem for compact minimal submanifolds immersed in Riemannian warped products of the type I×fSm(c), where f:I→R+ is a smooth positive function on an open ...
Xin Zhan, Zhonghua Hou
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, 1999 This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing approaches are rather analytic.
Zeghib, Abdelghani
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A new characterization of slices in warped products [PDF]
Contributions to MathematicsA paraitre dans Contributions to MathematicsInternational audienceWe show that in certain warped products, a starshaped and s-convex hypersurface for which there exists a positive constant c so that the higher order mean curvatures H_{s} and H_{s-1 ...
Julien Roth
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Multiply warped products quasi-Einstein manifolds with quarter-symmetric connection
, 2016 In this paper we study warped products and multiply warped products on quasi-Einstein manifolds with a quarter-symmetric connection.
Pahan, Sampa +2 more
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On Landsberg Warped Product Metrics [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 In the present paper the authors discuss the Finsler warped product metrics. They study the Berwald curvature of Finsler warped product metrics. They characterize the Finsler warped product metrics of isotropic Berwald curvature and deduce that they are Randers metrics (Theorem 1.2).
Gabrani, Mehran +2 more
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Asymptotic Dirichlet problems in warped products [PDF]
Mathematische Zeitschrift, 2019 We study the asymptotic Dirichlet problem for Killing graphs with prescribed mean curvature H in warped product manifolds $$M\times _\varrho \mathbb {R}$$ M × ϱ R .
Jean-Baptiste Casteras +3 more
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Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold
Cubo, 2022 The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
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