A continuity method to construct canonical metrics
Differential Geometry
2014-10-14 v1 Algebraic Geometry
Analysis of PDEs
Abstract
We introduce a new continuity method which provides an alternative way of carrying out the Analytic Minimal Model Program introduced by G. Tian and J. Song and G. Tian. This equation -- unlike the Ricci flow -- has the advantage of having Ricci curvature bounded from below along the deformation, so that the compactness theory of Cheeger-Colding-Tian for Kaehler manifolds and the partial -estimate, can be applied.
Cite
@article{arxiv.1410.3157,
title = {A continuity method to construct canonical metrics},
author = {Gabriele La Nave and Gang Tian},
journal= {arXiv preprint arXiv:1410.3157},
year = {2014}
}