Results 1 to 10 of about 84 (64)

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

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

A Note on Geodesic Vector Fields

Mathematics, 2020
The concircularity property of vector fields implies the geodesicity property, while the converse of this statement is not true. The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector ...
Sharief Deshmukh, Josef Mikeš, Nasser Bin Turki, Gabriel-Eduard Vîlcu   +3 more
doaj   +3 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

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

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

Parallel tangent deformation, concircular transformation and concurrent vector field [PDF]

Proceedings of the Japan Academy Series A: Mathematical Sciences, 1944
Yano, Kentaro, Adati, Tyūzi
exaly   +4 more sources