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On the existence of generalized quasi-Einstein manifolds [PDF]

open access: yesPeriodica Mathematica Hungarica, 2009
summary:The object of the present paper is to study a type of Riemannian manifold called generalized quasi-Einstein manifold.
Uday Chand De   +5 more
core   +3 more sources

Generalized Einstein tensor for a Weyl manifold and its applications

open access: yesActa Mathematica Sinica, English Series, 2013
It is well known that the Einstein tensor G for a Riemannian manifold defined by R (alpha) (beta) = g (beta gamma) R (gamma I +/-) where R (gamma I +/-) and R are respectively the Ricci tensor and the scalar curvature of the manifold plays an important ...
Abdülkadir Özdeğer   +1 more
exaly   +2 more sources

Einstein manifolds with skew torsion [PDF]

open access: yesThe Quarterly Journal of Mathematics, 2014
This paper is devoted to the first systematic investigation of manifolds that are Einstein for a connection with skew symmetric torsion. We derive the Einstein equation from a variational principle and prove that, for parallel torsion, any Einstein ...
Agricola, Ilka, Ferreira, Ana Cristina
core   +3 more sources

Studies of Some Curvature Operators in a Neighborhood of an Asymptotically Hyperbolic Einstein Manifold

open access: yesAdvances in Mathematics, 2002
On an asymptotically hyperbolic Einstein manifold (M,g0) for which the Yamabe invariant of the conformal structure on the boundary at infinity is nonnegative, we show that the operators of Ricci curvature, and of Einstein curvature, are locally ...
Erwann Delay
exaly   +2 more sources

Anatomy of Einstein manifolds [PDF]

open access: yesPhysical Review D, 2022
v2: Title changed with improved contents, 36 pages, 4 figures, to appear in Phys.
Jongmin Park   +2 more
openaire   +2 more sources

ON RICCI SEMI-SYMMETRIC SUPER QUASI-EINSTEIN HERMITIAN MANIFOLD [PDF]

open access: yes, 2023
The object of the present paper is to study the Bochner Ricci semi-symmetric super quasi-Einstein Hermitian manifold and a holomorphically projective Ricci-semi symmetric super quasi Einstein Hermitian ...
Gupta, Brijesh Kumar   +1 more
core   +1 more source

On a semi-quasi-Einstein manifold [PDF]

open access: yesJournal of Geometry and Physics, 2020
In the present paper we introduce a semi-quasi-Einstein manifold from a semi symmetric metric connection. Among others, the popular Schwarzschild and Kottler spacetimes are shown to possess this structure. Certain curvature conditions are studied in such a manifold with a Killing generator.
Yanling Han, Avik De, Peibiao Zhao
openaire   +3 more sources

On conformally Kähler, Einstein manifolds [PDF]

open access: yesJournal of the American Mathematical Society, 2008
We prove that any compact complex surface with c 1 > 0
Chen, Xiuxiong   +2 more
openaire   +3 more sources

Einstein manifolds and contact geometry [PDF]

open access: yesProceedings of the American Mathematical Society, 2001
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Boyer, Charles P., Galicki, Krzysztof
openaire   +2 more sources

Sasaki-Einstein manifolds [PDF]

open access: yesSurveys in Differential Geometry, 2011
This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.
openaire   +2 more sources

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