Results 71 to 80 of about 5,140,777 (272)
A survey on geometry of warped product submanifolds [PDF]
arXiv, 2013 The warped product $N_1\times_f N_2$ of two Riemannian manifolds $(N_1,g_1)$ and $(N_2,g_2)$ is the product manifold $N_1\times N_2$ equipped with the warped product metric $g=g_1+f^2 g_2$, where $f$ is a positive function on $N_1$. The notion of warped product manifolds is one of the most fruitful generalizations of Riemannian products.
Bang‐Yen Chen
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On quasi-Einstein warped products
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 We study quasi-Einstein warped product manifolds for arbitrary dimen- sion n 3. Mathematics Subject Classication 2010: 53C25.
Sular, Sibel, Özgür, Cihan
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A Bernstein problem in warped products [PDF]
Annales Academiae Scientiarum Fennicae Mathematica, 2016 Uniqueness and non-existence of entire solutions to the minimal surface equation in warped products R 2 ×f R are provided. As a consequence of our results, the classical Bernstein's Theorem is extended.
Juan A. Aledo, Rafael M. Rubio
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Conformal Warped Product Submersion [PDF]
arXiv, 2023 In this paper, the concept of Riemannian warped product submersion is generalized to the conformal case. We introduce the notion of conformal warped product submersion. It is a submersion between warped product manifolds that preserves angles between the horizontal vectors.
arxiv
Differential Geometry and its Applications, 2001 AbstractIn this paper we study geodesic completeness of Riemannian doubly warped products and Lorentzian doubly warped products. We give necessary conditions for generalized Robertson–Walker space-times with doubly warped product spacial parts to be globally hyperbolic.
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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 $M\times_\varrho \mathbb{R}$. In the first part of the paper, we prove the existence of Killing graphs with prescribed boundary on geodesic balls under suitable assumptions on $H$ and the mean curvature of the Killing cylinders ...
Casteras, Jean-Baptiste +3 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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THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS [PDF]
Journal of the Chungcheong Mathematical Society, 2013 In this paper, when N is a compact Riemannian manifold of class (C), we consider the nonexistence of some warping functions on Riemannian warped product manifolds with prescribed scalar curvatures.
Yoon-Tae Jung +4 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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A Note on Doubly Warped Product Contact CR-Submanifolds in trans-Sasakian Manifolds
, 2007 Warped product CR-submanifolds in Kaehlerian manifolds were intensively studied only since 2001 after the impulse given by B.Y. Chen. Immediately after, another line of research, similar to that concerning Sasakian geometry as the odd dimensional version
A. Gray +10 more
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