K-Semistability for irregular Sasakian manifolds
Differential Geometry
2012-04-11 v1 High Energy Physics - Theory
Algebraic Geometry
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.
Cite
@article{arxiv.1204.2230,
title = {K-Semistability for irregular Sasakian manifolds},
author = {Tristan C. Collins and Gábor Székelyhidi},
journal= {arXiv preprint arXiv:1204.2230},
year = {2012}
}
Comments
25 pages