Results 1 to 10 of about 4,558 (149)

On static manifolds and related critical spaces with cyclic parallel Ricci tensor [PDF]

Advances in Geometry, 2021
Abstract We classify 3-dimensional compact Riemannian manifolds (M 3, g) that admit a non-constant solution to the equation −Δfg +Hess f − f Ric = μ Ric +λg for some special constants (μ, λ), under the assumption that the manifold has cyclic parallel Ricci tensor.
Baltazar, H., Da Silva, A.
semanticscholar   +8 more sources

Real hypersurfaces with cyclic-parallel Ricci tensor of a complex projective space [PDF]

Hokkaido Mathematical Journal, 1988
The main purpose of this paper is to prove the following theorem. Let M be a real hypersurface of a complex projective space \({\mathbb{C}}P^ n\). If the Ricci tensor of M is cyclic-parallel and the structure vector is principal, then M is locally congruent to a homogeneous hypersurface of \({\mathbb{C}}P^ n\).
KWON, Jung-Hwan, NAKAGAWA, Hisao
semanticscholar   +5 more sources

Almost Kenmotsu 3−h -manifolds with cyclic-parallel Ricci tensor

Journal of Nonlinear Sciences and Applications, 2016
In this paper, we prove that the Ricci tensor of an almost Kenmotsu 3-h-manifold is cyclic-parallel if and only if it is parallel and hence, the manifold is locally isometric to either the hyperbolic space H3(−1) or the Riemannian product H2(−4)× R.
Wenjie Wang
semanticscholar   +4 more sources

Z-Symmetric Manifolds Admitting Schouten Tensor

Mathematics, 2022
The paper deals with the study of Z-symmetric manifolds (ZS)n admitting certain cases of Schouten tensor (specifically: Ricci-recurrent, cyclic parallel, Codazzi type and covariantly constant), and investigate some geometric and physical properties of ...
Mohabbat Ali, Abdul Haseeb, Fatemah Mofarreh, Mohd Vasiulla   +3 more
doaj   +2 more sources

η-Ricci Solitons on Kenmotsu 3-Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor.
De Krishnendu, De Uday Chand
doaj   +2 more sources

Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity

Advances in Mathematical Physics, 2022
Sufficient conditions on a pseudoprojective symmetric spacetime  PPSn whose Ricci tensor is of Codazzi type to be either a perfect fluid or Einstein spacetime are given.
Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied, Nasser Bin Turki   +3 more
doaj   +2 more sources

Generalized Quasi-Einstein Manifolds in Contact Geometry [PDF]

Mathematics, 2020
In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
doaj   +2 more sources

η-Ricci Solitons on Sasakian 3-Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip, De Uday Chand, Kar Debabrata   +2 more
doaj   +2 more sources

A Study on Trans-para-Sasakian Manifolds

Journal of Innovative Science and Engineering
In the current paper, we make the first contribution to investigate conditions under which three-dimensional trans-para-Sasakian manifold has η-parallel Ricci tensor and cyclic parallel Ricci tensor.
Irem KUPELI ERKEN, Mustafa OZKAN
doaj   +2 more sources

Weakly B-Symmetric Warped Product Manifolds with Applications

Axioms
This work presents a comprehensive study of weakly B-symmetric warped product manifolds (WBS)n, a natural extension of several classical curvature-restricted geometries including B-flat, B-parallel, and B-recurrent manifolds.
Bang-Yen Chen, Sameh Shenawy, Uday Chand De, Safaa Ahmed, Hanan Alohali   +4 more
doaj   +2 more sources