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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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Publicationes Mathematicae Debrecen, 2000 The authors define a quasi Einstein manifold to be a non-flat Riemannian manifold \((M^n,g)\), \(n>2\), such that its Ricci tensor \(S\) satisfies the condition \( S(X,Y)=a g(X,Y) + b A(X) A(Y), \) where \(a,b\neq 0\) are associated scalars and \(A\) is a non-zero associated 1-form such that \(g(X,U)=A(X)\), \(g(U,U)=1\).
M. C. Chaki, R. K. Maity
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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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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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Geometry of generalized Einstein manifolds [PDF]
Comptes Rendus. Mathématique, 2004 Let \(M\) be an \(n\)-dimensional differentiable manifold of class \(C^{\infty }\), \(T(M\)) the tangent bundle over \(M\), \(p:V(M)\rightarrow M\) the fiber bundle of non-zero tangent vectors on \(M\) and \(p^{-1}:T(M)\rightarrow V(M)\) the fiber bundle induced by \(p\) on \(V(M)\). For any covariant differentiation \(\nabla \), a linear mapping \(\mu
H. Akbar-Zadeh
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On Conformally Compact Einstein Manifolds [PDF]
Mathematical Research Letters, 2001 During the last couple of years conformally compact Einstein manifolds have appeared in string theory as the mathematical framework for the Ads/CFT correspondence which gives a close connection between conformal field theory and supergravity. Inspired by these facts the author establishes several results which support an expectation that there should ...
Xiaodong Wang
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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Mihai Visinescu, Eduard Vîlcu
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Einstein manifolds and obstructions to the existence of Einstein metrics [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1998 This article is a panorama about Einstein manifolds (which has not to be intended as a complete report on the subject). We have chosen to mention some classical facts which make the notion of Einstein metric worth of investigation, and we discuss how ...
A. Sambusetti
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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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