Results 41 to 50 of about 3,973 (295)
Asian Journal of Mathematics, 2015 In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product structure.
He, Chenxu +2 more
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Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, 2021 In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
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The geometry of warped product singularities [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 In this article, the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented here is that a degenerate warped product of semi-regular semi-Riemannian manifolds with the ...
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Einstein Hypersurfaces of Warped Product Spaces
Results in Mathematics, 2022 We consider Einstein hypersurfaces of warped products $I\times_ω\mathbb Q_ε^n,$ where $I\subset\mathbb R$ is an open interval and $\mathbb Q_ε^n$ is the simply connected space form of dimension $n\ge 2$ and constant sectional curvature $ε\in\{-1,0,1\}.$ We show that, for all $c\in\mathbb R$ (resp.
R. F. de Lima +2 more
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Certain investigations of sequential warped product submanifolds on cosymplectic manifolds
Journal of Inequalities and Applications, 2023 In a special class of almost contact metric manifolds known as cosymplectic manifolds, the current study aims to establish the existence result and a few inequalities for sequential warped product submanifolds.
Anil Sharma +3 more
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Differential Geometry and its Applications, 2001 The author studies the completeness of Lorentzian doubly warped products with metrics of the form \(-f^2 dt^2\oplus b^2g_F\) for positive functions \(f\) on a Riemannian manifold \(F\), \(b\) on an interval \((c,d)\).
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WARPED PRODUCTS IN RIEMANNIAN MANIFOLDS [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractIn this paper we prove two inequalities relating the warping function to various curvature terms, for warped products isometrically immersed in Riemannian manifolds. This extends work by B. Y. Chen [‘On isometric minimal immersions from warped products into real space forms’, Proc. Edinb. Math. Soc.
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A remark on Einstein warped products [PDF]
Pacific Journal of Mathematics, 2011 We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
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Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds [PDF]
, 2011 We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that the warped product of the type is a usual Riemannian product of and , where and are anti-invariant and invariant submanifolds of a nearly cosymplectic ...
Siraj Uddin +3 more
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Some Conformal Transformations on Finsler Warped Product Manifolds
Mathematics, 2023 The conformal transformation, which preserves Einstein metrics on Finsler warped product manifolds, is studied in this paper. We obtain sufficient and necessary conditions of a conformal transformation preserving Einstein metrics. In addition, we provide
Yuze Ren, Xiaoling Zhang, Lili Zhao
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