Results 21 to 30 of about 2,551 (283)
A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS [PDF]
Bulletin of the Australian Mathematical Society, 2017 We prove a DDVV inequality for submanifolds of warped products of the form $I\times _{a}\mathbb{M}^{n}(c)$, where $I$ is an interval and $\mathbb{M}^{n}(c)$ is a real space form of curvature $c$. As an application, we give a rigidity result for submanifolds of $\mathbb{R}\times _{e^{\unicode[STIX]{x1D706}t}}\mathbb{H}^{n}(c)$.
Roth, J., Roth, Julien
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On Bernstein-Type Theorems in Semi-Riemannian Warped Products [PDF]
Advances in Mathematical Physics, 2013 Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type ...
Wenjie Wang, Ximin Liu
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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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Geometry of warped products [PDF]
, 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. Somewhere else, we have interpreted statements, especially by means of a physical terminology.
Zeghib, Abdelghani
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Warped product space-times [PDF]
Classical and Quantum Gravity, 2017 Abstract Many classical results in relativity theory concerning spherically symmetric space-times have easy generalizations to warped product space-times, with a two-dimensional Lorentzian base and arbitrary dimensional Riemannian fibers. We first give a systematic presentation of the main geometric constructions, with emphasis on the
Xinliang An, Willie Wai Yeung Wong
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Multiply warped products with compact Einstein manifolds [PDF]
, 2020 We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive.
Karaca, Fatma
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Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds
Mathematics, 2019 Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui +2 more
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Killing and 2-Killing Vector Fields on Doubly Warped Products
Mathematics, 2023 We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
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Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Mathematics, 2023 Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
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On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]
Arab Journal of Mathematical Sciences, 2021 Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
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