Results 31 to 40 of about 169,909 (330)
Comprehensive quasi-Einstein spacetime with application to general relativity [PDF]
, 2021 The aim of this paper is to extend the notion of all known quasi-Einstein manifolds like generalized quasi-Einstein, mixed generalized quasi-Einstein manifold, pseudo generalized quasi-Einstein manifold and many more and name it comprehensive quasi Einstein manifold C(QE)$_{n}$. We investigate some geometric and physical properties of the comprehensive
arxiv +1 more source
Einstein extensions of Riemannian manifolds [PDF]
Transactions of the American Mathematical Society, 2021 Given a Riemannian space N N of dimension n n and a field D D of symmetric endomorphisms on N N , we define the extension M M of N N by D D to be the Riemannian manifold of dimension n + 1 n+1
Yuri Nikolayevsky, D. Alekseevsky
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On some classes of mixed-super quasi-Einstein manifolds
Acta Universitatis Sapientiae: Mathematica, 2016 Quasi-Einstein manifold and generalized quasi-Einstein manifold are the generalizations of Einstein manifold. The purpose of this paper is to study the mixed super quasi-Einstein manifold which is also the generalizations of Einstein manifold satisfying ...
Dey Santu +2 more
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On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection
Acta Universitatis Sapientiae: Mathematica, 2019 In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection.
Pal Buddhadev, Dey Santu, Pahan Sampa
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Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
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REMARKS ON KÄHLER-EINSTEIN MANIFOLDS [PDF]
Nagoya Mathematical Journal, 1972 The main purpose of this note is to characterize a compact Káhler-Einstein manifold in terms of curvature form. The curvature form Q is an EndT valued differential form of type (1,1) which represents the curvature class of the manifold. We shall prove that the curvature form of a Káhler metric is the harmonic representative of the curvature class if ...
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On the stability of homogeneous Einstein manifolds
Asian Journal of Mathematics, 2022 27 pages.
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On eta-Einstein N(k)-contact metric manifolds
Boletim da Sociedade Paranaense de Matemática, 2022 The aim of this paper is to characterize eta-Einstein N(k)-contact metric manifolds admits eta-Ricci soliton. Several consequences of this result are discussed.
Sunil Kumar Yadav, Xiaomin Chen
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Characterizations of Generalized Quasi-Einstein Manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We give characterizations of generalized quasi-Einstein manifolds for both even and odd ...
Sular Sibel, Özgür Cihan
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The extended quasi-Einstein manifolds with generalised Ricci solitons [PDF]
arXiv, 2022 As a generalization of Einstein manifolds, the nearly quasi-Einstein manifolds and pseudo quasi-Einstein manifolds are both interesting and useful in studying the general relativity. In this paper, we study the extended quasi-Einstein manifolds which derive from pseudo quasi-Einstein manifolds.
arxiv