Results 1 to 10 of about 87 (65)

A Remarkable Property of Concircular Vector Fields on a Riemannian Manifold [PDF]

Mathematics, 2020
In this paper, we show that, given a non-trivial concircular vector field u on a Riemannian manifold ( M , g ) with potential function f, there exists a unique smooth function ρ on M that connects u to the gradient of potential function
Ibrahim Al-Dayel, Sharief Deshmukh, Olga Belova   +2 more
doaj   +6 more sources

Integral Formulae and Applications for Compact Riemannian Hypersurfaces in Riemannian and Lorentzian Manifolds Admitting Concircular Vector Fields

Mathematics
This paper investigates compact Riemannian hypersurfaces immersed in (n+1)-dimensional Riemannian or Lorentzian manifolds that admit concircular vector fields, also known as closed conformal vector fields (CCVFs).
Mona Bin-Asfour, Kholoud Saad Albalawi, Mohammed Guediri   +2 more
doaj   +4 more sources

Spheres and Euclidean Spaces Via Concircular Vector Fields

Mediterranean Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uday Chand De, KAZIM Ilarslan, Sharief Deshmukh   +2 more
exaly   +2 more sources

Geodesic Mappings of V_n(K)-Spaces and Concircular Vector Fields [PDF]

Mathematics, 2019
In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called V n ( K ) -spaces. We prove that the set of solutions of the system of equations of geodesic mappings on V n ( K ) -spaces forms a ...
Igor G. Shandra, Josef Mikeš
doaj   +2 more sources

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +2 more sources

SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS [PDF]

Bulletin of the Korean Mathematical Society, 2015
Abstract. A vector field on a Riemannian manifold (M,g) is called con-circular if it satisfies ∇ X v = µX for any vector X tangent to M, where∇is the Levi-Civita connection and µ is a non-trivial function on M. Asmooth vector field ξ on a Riemannian manifold (M,g) is said to definea Ricci soliton if it satisfies the following Ricci soliton equation:12L ξ g +
Bang-Yen Chen, Chen Bang-Yen
exaly   +2 more sources

Concircular vector fields and pseudo-Kaehler manifolds [PDF]

Kragujevac Journal of Mathematics, 2016
A vector field on a pseudo-Riemannian manifold N is called concircular if it satisfies ΔXv = μX for any vector X tangent to N, where ∆ is the Levi-Civita connection of N. A concircular vector field satisfying ∆Xv = µX is called a nontrivial concircular vector field if the function µ is non-constant.
Bang-Yen Chen, Chen Bang-Yen
exaly   +2 more sources

Concircular π-Vector Fields and Special Finsler Spaces

Advances in Pure Mathematics, 2013
laTeX file, 18 pages, some typos corrected, some proofs added, concluding summary added at the end of the paper.
Nabil Youssef, Amr Soleiman
exaly   +3 more sources

Some Results About Concircular and Concurrent Vector Fields On Pseudo-Kaehler Manifolds [PDF]

Journal of Physics: Conference Series, 2016
Kaehler manifolds which are used in physics have a lot of application fields. In this study we only state concircular and concurrent vector field that are defined on these manifolds. A vector field on a pseudo-Riemannian manifold N is called concircular, if it satisfies ∇ X υ = μX for any vector X tangent to N, where ∇ is the Levi-Civita connection of ...
Sevinc, Sibel, Sekerci, Gulsah Aydin, Coken, A. Ceylan   +2 more
exaly   +3 more sources

Some results about concircular vector fields on Riemannian manifolds

Filomat, 2020
In this article, we show that the presence of a concircular vector field on a Riemannian manifold can be used to obtain rigidity results for Riemannian and Kaehler manifolds. More precisely, we find new geometrical characterizations of spheres, Euclidean spaces as well as of complex Euclidean spaces using non-trivial concircular vector ...
Bang-Yen Chen, Sharief Deshmukh, Chen Bang-Yen   +2 more
exaly   +3 more sources