Results 1 to 10 of about 3,898 (88)

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.
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Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons

Axioms, 2022
In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an ϵ-Kenmotsu manifold,
Abdul Haseeb, Mohd Bilal, Sudhakar K. Chaubey, Mohammad Nazrul Islam Khan   +3 more
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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   +1 more source

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
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Generalized Quasi-Einstein Manifolds in Contact Geometry

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   +1 more source

Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups [PDF]

, 2010
Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and $\varepsilon$-spaces exhaust the class of $n$-dimensional Lorentzian manifolds admitting a group of ...
Calvaruso, Giovanni, Garcia-Rio, Eduardo
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Affine Dynamics with Torsion [PDF]

, 2016
In this study, we give a thorough analysis of a general affine gravity with torsion. After a brief exposition of the affine gravities considered by Eddington and Schr\"{o}dinger, we construct and analyze different affine gravities based on the ...
Gultekin, Kemal
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The inflationary bispectrum with curved field-space [PDF]

, 2012
We compute the covariant three-point function near horizon-crossing for a system of slowly-rolling scalar fields during an inflationary epoch, allowing for an arbitrary field-space metric.
A. Achucarro, A. Avgoustidis ., A. Mazumdar, A.A. Starobinsky, A.A. Starobinsky, C. Burgess, C. Burrage, C. Cheung, C.M. Peterson, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D.H. Lyth, D.H. Lyth, D.I. Kaiser, D.J. Mulryne, D.J. Mulryne, David Seery, E. Nalson, E. Poisson, E.E. Flanagan, F. Arroja, F. Arroja, F. Vernizzi, G.J. Anderson, I. Buchbinder, J. Elliston, J. White, J.-O. Gong, J.-O. Gong, J.M. Maldacena, Joseph Elliston, K. Koyama, L. McAllister, P.M. Saffin, R.L. Arnowitt, Reza Tavakol, S. Renaux-Petel, S. Yokoyama, T. Appelquist, T. Chiba, X. Chen, X. Chen, X. Chen, X. Gao   +50 more
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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   +1 more source

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

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
openaire   +3 more sources