Results 21 to 30 of about 5,193,136 (315)

Killing and 2-Killing Vector Fields on Doubly Warped Products

open access: yesMathematics, 2023
We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
doaj   +1 more source

Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey

open access: yesMathematics, 2021
We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant ...
Cristina E. Hretcanu, Adara M. Blaga
doaj   +1 more source

Warped product space-times [PDF]

open access: yesClassical and Quantum Gravity, 2017
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 Kodama vector field and ...
Xinliang An, Willie Wai Yeung Wong
openaire   +2 more sources

Ricci Soliton of CR-Warped Product Manifolds and Their Classifications

open access: yesSymmetry, 2023
In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form.
Yanlin Li   +4 more
semanticscholar   +1 more source

Warped product pointwise semi-slant submanifolds of cosymplectic space forms and their applications [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
In this paper some characterizations for the existence of warped product pointwise semi-slant submanifolds of cosymplectic space forms are obtained.
Lamia Saeed Alqahtani
doaj   +1 more source

Stability for Serrin’s Problem and Alexandroff’s Theorem in Warped Product Manifolds [PDF]

open access: yesInternational mathematics research notices, 2022
We prove quantitative versions for several results from geometric partial differential equations. Firstly, we obtain a double stability theorem for Serrin’s overdetermined problem in spaceforms.
Julian Scheuer, C. Xia
semanticscholar   +1 more source

Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

open access: yesCubo, 2022
The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

Hyperbolic Ricci soliton on warped product manifolds

open access: yesFilomat, 2023
In this paper, we investigate hyperbolic Ricci soliton as the special solution of hyperbolic geometric flow on warped product manifolds. Then, especially, we study these manifolds admitting either a conformal vector field or a concurrent vector field.
S. Azami, Ghodratallah Fasihi-Ramandi
semanticscholar   +1 more source

Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds

open access: yesInternational Journal of Analysis and Applications, 2022
In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman   +2 more
doaj   +1 more source

Warped product rigidity [PDF]

open access: yesAsian 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
openaire   +2 more sources

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