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Einstein Manifolds and Contact Geometry [PDF]

Proceedings of the American Mathematical Society, 1999
We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Charles P. Boyer, Krzysztof Galicki
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Charged and Electromagnetic Fields from Relativistic Quantum Geometry [PDF]

Universe, 2016
In the recently introduced Relativistic Quantum Geometry (RQG) formalism, the possibility was explored that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian ...
Marcos R. A. Arcodía, Mauricio Bellini
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On Einstein equations on manifolds and supermanifolds [PDF]

Journal of Nonlinear Mathematical Physics, 2003
The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M becomes the Grassmannian $Gr_{2}^{4}$ of 2-dimensional subspaces in the 4-dimensional complex one.
Dimitry Leites, Elena Poletaeva, Vera Serganova   +2 more
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Geometry of generalized Einstein manifolds [PDF]

Comptes Rendus. Mathématique, 2004
Abstract A formula linking the horizontal Laplacian Δ ¯ φ of a function φ on the fibre bundle W of unitary tangent vectors to a Finslerian compact manifold without boundary ( M , g ) , to the square of a symmetric 2-tensor and Finslerian curvature.
H. Akbar-Zadeh
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Einstein manifolds with convex boundaries

Commentarii Mathematici Helvetici, 2001
Let ({\rm M, \partial M}) be a compact m+1 -manifold with boundary with an Einstein metric g_0 , with \mathrm{ric}_{g_0} = -mg_0
Jean‐Marc Schlenker
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Anatomy of Einstein manifolds [PDF]

Physical Review D, 2022
v2: Title changed with improved contents, 36 pages, 4 figures, to appear in Phys.
Jongmin Park, Jaewon Shin, Hyun Seok Yang   +2 more
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Einstein manifolds with torsion and nonmetricity [PDF]

Physical Review D, 2020
27 pages, Accepted for publication in Phys.
Dietmar Klemm, Dietmar Klemm, Lucrezia Ravera   +2 more
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$m$-quasi-$*$-Einstein contact metric manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2022
The goal of this article is to introduce and study the characterstics of $m$-quasi-$*$-Einstein metric on contact Riemannian manifolds. First, we prove that if a Sasakian manifold admits a gradient $m$-quasi-$*$-Einstein metric, then $M$ is $\eta ...
H.A. Kumara, V. Venkatesha, D.M. Naik
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A Kenmotsu metric as a conformal $\eta$-Einstein soliton

Karpatsʹkì Matematičnì Publìkacìï, 2021
The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton.
S. Roy, S. Dey, A. Bhattacharyya
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∗-Ricci Tensor on α-Cosymplectic Manifolds

Advances in Mathematical Physics, 2022
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi, D. G. Prakasha, Nasser Bin Turki, Inan Unal   +3 more
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