Results 1 to 10 of about 73,082 (280)
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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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 +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 +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 +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 +3 more
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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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