Results 21 to 30 of about 3,973 (295)
Ricci solitons on singly warped product manifolds and applications [PDF]
, 2023 The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are Ricci soliton.
Shenawy, Sameh +3 more
core +2 more sources
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
openaire +2 more sources
A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
Advances in Mathematical Physics, 2021 In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi +3 more
doaj +1 more source
On Finsler warped product metrics with vanishing $E$-curvature [PDF]
AUT Journal of Mathematics and Computing, 2021 In this paper, we study Finsler warped product metric recently introduced by P. Marcal and Z. Shen and find characteristics differential equations for this metric to have vanishing $E$-curvature.
Ranadip Gangopadhyay +2 more
doaj +1 more source
Curvature of multiply warped products [PDF]
Journal of Geometry and Physics, 2005 28 pages, corrected typos, to appear in Journal of Geometry and ...
Dobarro, Fernando, Ünal, Bülent
openaire +2 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 +1 more source
Warped Poisson brackets on warped products
Journal of Geometric Mechanics, 2014 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. We construct three bivector fields on a product manifold and show that each of them lead under certain ...
Amrane, Yacine Aït +2 more
openaire +2 more sources
Advances in Mathematical Physics, 2021 The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations.
Ibrahim Al-Dayel
doaj +1 more source
On Doubly Warped Product Manifolds [PDF]
, 2006 We study the doubly warped product manifold M=B_h×_fF of Riemannian manifolds related to critical Riemannian metrics and conharmonic transformation, and investigate the conditions of M to be a warped product space or a Riemannian ...
Agaoka, Yoshio +3 more
core +1 more source
Warped Product Pointwise Semi Slant Submanifolds of Sasakian Space Forms and their Applications
Advances in Mathematical Physics, 2020 In this study, we attain some existence characterizations for warped product pointwise semi slant submanifolds in the setting of Sasakian space forms. Moreover, we investigate the estimation for the squared norm of the second fundamental form and further
Nadia Alluhaibi, Meraj Ali Khan
doaj +1 more source