Sasaki-Einstein metrics and K-stability
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Publication:2001904
DOI10.2140/GT.2019.23.1339zbMATH Open1432.32033arXiv1512.07213OpenAlexW2220872743WikidataQ125888524 ScholiaQ125888524MaRDI QIDQ2001904
Author name not available (Why is that?)
Publication date: 11 July 2019
Published in: (Search for Journal in Brave)
Abstract: We show that a polarized affine variety admits a Ricci flat K"ahler cone metric, if and only if it is K-stable. This generalizes Chen-Donaldson-Sun's solution of the Yau-Tian-Donaldson conjecture to K"ahler cones, or equivalently, Sasakian manifolds. As an application we show that the five-sphere admits infinitely many families of Sasaki-Einstein metrics.
Full work available at URL: https://arxiv.org/abs/1512.07213
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