Results 41 to 50 of about 1,202,632 (386)
Spectral metric and Einstein functionals
Advances in Mathematics, 2023 We define bilinear functionals of vector fields and differential forms, the densities of which yield the metric and Einstein tensors on even-dimensional Riemannian manifolds. We generalise these concepts in non-commutative geometry and, in particular, we prove that for the conformally rescaled geometry of the noncommutative two-torus the Einstein ...
Ludwik Dabrowski +2 more
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Invariant Einstein metrics on Ledger-Obata spaces [PDF]
, 2016 In this paper, we study invariant Einstein metrics on Ledger-Obata spaces $F^m/\operatorname{diag}(F)$. In particular, we classify invariant Einstein metrics on $F^4/\operatorname{diag}(F)$ and estimate the number of invariant Einstein metrics on general
Zhiqi Chen +2 more
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Tractor Beams, Pressor Beams and Stressor Beams in General Relativity
Universe, 2021 The metrics of general relativity generally fall into two categories: those which are solutions of the Einstein equations for a given source energy-momentum tensor and the “reverse engineered” metrics—metrics bespoke for a certain purpose.
Jessica Santiago +2 more
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Asymptotics of ACH-Einstein Metrics [PDF]
The Journal of Geometric Analysis, 2013 We study the boundary asymptotics of ACH metrics which are formally Einstein. In terms of the partially integrable almost CR structure induced on the boundary at infinity, existence and uniqueness of such formal asymptotic expansions are studied. It is shown that there always exist formal solutions to the Einstein equation if we allow logarithmic terms,
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Partial C 0-Estimate for Kähler–Einstein Metrics
Communications in Mathematics and Statistics, 2013 G. Tian
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Existence of coupled K\"ahler-Einstein metrics using the continuity method [PDF]
, 2016 In this paper we prove the existence of coupled K\"ahler-Einstein metrics on complex manifolds whose canonical bundle is ample. These metrics were introduced and their existence in the said case was proven by Hultgren and Nystr\"om using calculus of ...
V. Pingali
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Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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Non-naturally reductive Einstein metrics on exceptional Lie groups [PDF]
, 2015 Given an exceptional compact simple Lie group G we describe new left-invariant Einstein metrics which are not naturally reductive. In particular, we consider fibrations of G over flag manifolds with a certain kind of isotropy representation and we ...
I. Chrysikos, Y. Sakane
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Einstein metrics and smooth structures [PDF]
Geometry & Topology, 1998 10 pages.
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Projective compactifications and Einstein metrics [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 Abstract For complete affine manifolds we introduce a definition of compactification based on the projective differential geometry (i.e. geodesic path data) of the given connection. The definition of projective compactness involves a real parameter α called the order of projective compactness.
Cap, Andreas, Gover, A. Rod
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