Results 51 to 60 of about 5,203,389 (175)
Sequential Warped Products and Their Applications
International Electronic Journal of Geometry, 2021 In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products. Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this new structure.
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Multiply Warped Products with Non-Smooth Metrics
, 2002 In this article we study manifolds with $C^{0}$-metrics and properties of Lorentzian multiply warped products. We represent the interior Schwarzschild space-time as a multiply warped product space-time with warping functions and we also investigate the ...
Beem J. K. +5 more
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On doubly warped product Finsler manifolds [PDF]
Nonlinear Analysis: Real World Applications, 2012 In this paper, we introduce horizontal and vertical warped product Finsler manifold. We prove that every C-reducible or proper Berwaldian doubly warped product Finsler manifold is Riemannian. Then, we find the relation between Riemmanian curvatures of doubly warped product Finsler manifold and its components, and consider the cases that this manifold ...
Peyghan, Esmaeil, Tayebi, Akbar
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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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Singularity theorems for warped products and the stability of spatial extra dimensions
, 2019 New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions against dynamical perturbations.
Cipriani, Nastassja +1 more
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CRITICAL POINTS AND WARPED PRODUCT METRICS [PDF]
Bulletin of the Korean Mathematical Society, 2004 The authors prove a rigidity theorem showing that no warped products of dimension 3 can satisfy a certain Euler-Lagrange equation involving the total scalar curvature functional unless it is isometric to the standard sphere.
Hwang, Seungsu, Chang, Jeongwook
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Sharp Growth Estimates for Warping Functions in Multiply Warped Product Manifolds [PDF]
Journal of Geometry and Symmetry in Physics, 2019 By applying an average method in PDE, we obtain a dichotomy between "constancy" and "infinity" of the warping functions on complete noncompact Riemannian manifolds for an appropriate isometric immersion of a multiply warped product manifold $N_1\times_{f_2} N_2 \times \cdots \times _{f_k} N_k\, $ into a Riemannian manifold.
Chen, Bang-Yen, Wei, Shihshu Walter
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Geometric inequalities involving three quantities in warped product manifolds [PDF]
Advances in Mathematics, 2023 Kwok-Kun Kwong, Yong Wei
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CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS
Communications of the Korean Mathematical Society, 2003 Summary: When \(N\) is a compact Riemannian manifold, using warped products, we discuss the conformal deformation of a warped product metric on \( M = [a, \infty ) \times_f N\) with specific warping functions.
Jung, Yoon-Tae +2 more
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The Weyl problem in warped product spaces
, 2020 In this paper, we discuss the Weyl problem in warped product spaces. We apply the method of continuity and prove the openness of the Weyl problem. A counterexample is constructed to show that the isometric embedding of the sphere with canonical metric is
Chunhe Li, Zhizhang Wang
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