Results 1 to 10 of about 156,624 (168)
Einstein Metrics on Spheres [PDF]
Annals of Mathematics, 2003 We prove the existence of an abundance of new Einstein metrics on odd dimensional spheres including exotic spheres, many of them depending on continuous parameters. The number of families as well as the number of parameter grows double exponentially with
Boyer, Charles P. +2 more
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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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(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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Singular Kähler-Einstein metrics [PDF]
Journal of the American Mathematical Society, 2009 We study degenerate complex Monge-Amp re equations of the form $( +dd^c )^n = e^{t } $ where $ $ is a big semi-positive form on a compact K hler manifold $X$ of dimension $n$, $t \in \R^+$, and $ =f ^n$ is a positive measure with density $f\in L^p(X, ^n)$, $p>1$.
Eyssidieux, Philippe +2 more
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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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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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Geometrically Finite Poincaré–Einstein Metrics [PDF]
Communications in Mathematical Physics, 2020 Comment: 28 ...
Eric Bahuaud, Frédéric Rochon
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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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