Results 11 to 20 of about 118 (95)

On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces

Mathematics, 2019
We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces.
Patrik Peška, Miloš Z. Petrović, Mića Stanković   +2 more
exaly   +3 more sources

On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor [PDF]

Pure and Applied Mathematics Journal, 2015
We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) (ξ,X)R=0, (Z ) (ξ,X) (Z ) =0, (Z ) (ξ,X)S=0 and (Z ) (ξ,X)P=0, where (Z ) is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold.
Mehmet ATÇEKEN
exaly   +2 more sources

Impact of concircular curvature tensor in f(R*)-gravity

Filomat
This paper concerns with the characterization of a spacetime and f (R*)-gravity endowed with concircular curvature tensor. We prove that a concircularly flat perfect fluid spacetime is either a de- Sitter spacetime or locally isometric to Minkowski spacetime.
Uday Chand De, Uday De
exaly   +2 more sources

Concircular curvature tensor on a P-Sasakian manifold admitting a quarter-symmetric metric connection [PDF]

Kragujevac Journal of Mathematics, 2018
Summary: The object of the present paper is to study a Para-Sasakian manifold admitting a type of quarter-symmetric metric connection whose concircular curvature tensor satisfies certain curvature conditions.
exaly   +3 more sources

Investigations of warped product manifolds through the concircular curvature tensor with relativistic applications

Letters in Mathematical Physics
Abstract This article focuses on characterizing warped product manifolds through the flatness and the symmetry of the concircular curvature tensor. It is proved that the factor manifolds of a concircularly-flat warped product manifold have constant sectional curvatures as well as they are concircularly-flat.
Abdallah Syied, Gabriel-Eduard Vilcu, Nasser Bin Turki   +2 more
exaly   +3 more sources

Erratum: Spacetimes admitting concircular curvature tensor in f(R) gravity

Frontiers in Physics, 2022
Frontiers Production Office
doaj   +2 more sources

Concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection

Filomat
In this paper, we study concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection and then, we emphasized the properties that concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection provides in case of flatness, ?-concircularly flatness,
Nesip Aktan
exaly   +4 more sources

Normal paracontact metric space form on $W_0$-curvature tensor

Journal of Amasya University the Institute of Sciences and Technology, 2023
In this article, normal paracontact metric space forms are investigated on $W_0$-curvature tensor. Characterizations of normal paracontact space forms are obtained on $W_0$-curvature tensor.
Pakize Uygun, Mehmet Atçeken, Tuğba Mert   +2 more
doaj   +1 more source

On harmonic and biharmonic maps from gradient Ricci solitons

Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023
Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley   +1 more source

Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]

Mathematica Bohemica, 2022
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
doaj   +1 more source