Results 11 to 20 of about 6,452 (264)
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, Andrzej Sitarz
exaly +4 more sources
The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law [PDF]
EntropyThe area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black
Ginestra Bianconi
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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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International Journal of Mathematics, 2021 In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.
Ulgen, Semail +2 more
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(k,μ)-Paracontact Manifolds and Their Curvature Classification
Cumhuriyet Science Journal, 2022 The aim of this paper is to study (k,μ)-Paracontact metric manifold. We introduce the curvature tensors of a (k,μ)-paracontact metric manifold satisfying the conditions R⋅P_*=0, R⋅L=0, R⋅W_1=0, R⋅W_0=0 and R⋅M=0.
Pakize Uygun
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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$(\alpha,\beta)$-Metrics with killing $\beta$ of constant length [PDF]
AUT Journal of Mathematics and Computing, 2020 The class of $(\alpha,\beta)$-metrics is a rich and important class of Finsler metrics, which is extensively studied. Here, we study $(\alpha,\beta)$-metrics with Killing of constant length $1$-form $\beta$ and find a simplified formula for their Ricci ...
Tayebeh Tabatabaeifar, Behzad Najafi
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Einstein metrics on spheres [PDF]
Annals of Mathematics, 2005 19 pages, some references added and clarifications made.
Boyer, Charles P. +2 more
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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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Singular Kähler-Einstein metrics [PDF]
Journal of the American Mathematical Society, 2009 We study degenerate complex Monge-Ampère equations of the form ( ω
Eyssidieux, Philippe +2 more
openaire +5 more sources