K-semistability for irregular Sasakian manifolds
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Publication:1748606
DOI10.4310/JDG/1525399217zbMATH Open1403.53039arXiv1204.2230OpenAlexW2963515188WikidataQ115165734 ScholiaQ115165734MaRDI QIDQ1748606
Author name not available (Why is that?)
Publication date: 14 May 2018
Published in: (Search for Journal in Brave)
Abstract: We introduce a notion of K-semistability for Sasakian manifolds. This extends to the irregular case the orbifold K-semistability of Ross-Thomas. Our main result is that a Sasakian manifold with constant scalar curvature is necessarily K-semistable. As an application, we show how one can recover the volume minimization results of Martelli-Sparks-Yau, and the Lichnerowicz obstruction of Gauntlett-Martelli-Sparks-Yau from this point of view.
Full work available at URL: https://arxiv.org/abs/1204.2230
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