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Kähler-Einstein Metrics. [PDF]
J Geom AnalWe recall a simple formula for a Kähler-Einstein metric on the unit ball and on the Siegel upper half space, both together with real holomorphic vector fields and consider generalized complex ellipsoids in \documentclass[12pt]{minimal} \usepackage ...
Haslinger F.
europepmc +2 more sources
Proceedings of Symposia in Pure Mathematics, 2017 We survey the theory of K\"ahler-Einstein metrics, with particular focus on the circle of ideas surrounding the Yau-Tian-Donaldson conjecture for Fano manifolds.
Gábor Székelyhidi
semanticscholar +3 more sources
Singular Kähler-Einstein metrics and RCD spaces
Forum of Mathematics, PiWe study Kähler-Einstein metrics on singular projective varieties. We show that under an approximation property with constant scalar curvature metrics, the metric completion of the smooth part is a noncollapsed RCD space, and is homeomorphic to the ...
Gabor Szekelyhidi
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Obstructions to the Existence of Sasaki–Einstein Metrics [PDF]
Communications in Mathematical Physics, 2007 We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein metrics on the links of these singularities. In particular, this also leads to new obstructions for Kahler-Einstein metrics on Fano orbifolds.
Jérôme P Gauntlett +2 more
exaly +4 more sources
Coupled Kähler–Einstein Metrics
, 2016 18 ...
Jakob Hultgren, David Witt Nyström
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Twisted Kähler–Einstein metrics in big classes [PDF]
Communications on Pure and Applied Mathematics, 2022 We prove existence of twisted Kähler–Einstein metrics in big cohomology classes, using a divisorial stability condition. In particular, when −KX$-K_X$ is big, we obtain a uniform Yau–Tian–Donaldson (YTD) existence theorem for Kähler–Einstein (KE) metrics.
Tam'as Darvas, Kewei Zhang
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Admissions to MD-PhD programs: how well do application metrics predict short- or long-term physician-scientist outcomes? [PDF]
JCI InsightMD-PhD programs prepare physicians for research-focused careers. The challenge for admissions committees is to select from among their applicants those who will achieve this goal, becoming leaders in academic medicine and biomedical research.
Lawrence F. Brass +3 more
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Some Conformal Transformations on Finsler Warped Product Manifolds
Mathematics, 2023 The conformal transformation, which preserves Einstein metrics on Finsler warped product manifolds, is studied in this paper. We obtain sufficient and necessary conditions of a conformal transformation preserving Einstein metrics. In addition, we provide
Yuze Ren, Xiaoling Zhang, Lili Zhao
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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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$(\alpha,\beta)$-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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