1204.2230 (Tristan C. Collins et al.)

K-Semistability for irregular Sasakian manifolds    [PDF]

Tristan C. Collins, Gábor Székelyhidi

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.

View original: http://arxiv.org/abs/1204.2230