Results 1 to 10 of about 5,140,777 (272)
Asian Journal of Mathematics, 2011 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.
Chenxu He, Peter Petersen, William Wylie
arxiv +6 more sources
Warped Poisson Brackets on Warped Products [PDF]
Journal of Geometric Mechanics, 2015 In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure.
Amrane, Yacine Aït +2 more
core +4 more sources
ρ-Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, 2022 The purpose of this research is to investigate how a ρ-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ-Einstein solitons are provided.
Nasser Bin Turki +4 more
doaj +2 more sources
Conformal Vector Fields on Doubly Warped Product Manifolds and Applications [PDF]
Advances in Mathematical Physics, 2016 This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds.
H. K. El-Sayied +2 more
doaj +4 more sources
On Douglas Warped Product Metrics [PDF]
Results in Mathematics, 2021 We study the new warped metric proposed by P. Marcal and Z. Shen. We obtain the differential equation of such metrics with vanishing Douglas curvature. By solving this equation, we obtain all Douglas warped product metrics.
Newton Mayer Solórzano Chávez
semanticscholar +3 more sources
Curvature of multiply warped products [PDF]
Journal of Geometry and Physics, 2005 28 pages, corrected typos, to appear in Journal of Geometry and ...
Fernando Dobarro, Bülent Ünal
openalex +4 more sources
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
Beem J. K. +8 more
core +3 more sources
Curvature in Special Base Conformal Warped Products [PDF]
, 2008 We introduce the concept of a base conformal warped product of two pseudo-Riemannian manifolds. We also define a subclass of this structure called as a special base conformal warped product.
Dobarro, Fernando, Unal, Bulent
core +4 more sources
A Study of Generalized Projective P−Curvature Tensor on Warped Product Manifolds
Journal of Mathematics, 2021 The main aim of this study is to investigate the effects of the P−curvature flatness, P−divergence-free characteristic, and P−symmetry of a warped product manifold on its base and fiber (factor) manifolds.
Uday Chand De +3 more
doaj +2 more sources
Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor
Mathematics, 2021 In the present paper, we study some properties of warped product pointwise semi-slant and hemi-slant submanifolds in Golden Riemannian manifolds, and we construct examples in Euclidean spaces.
Cristina E. Hretcanu, Adara M. Blaga
doaj +2 more sources