Smooth approximation of conic Kähler metric with lower Ricci curvature bound

Liangming Shen

Vol. 284 (2016), No. 2, 455–474

DOI: 10.2140/pjm.2016.284.455

Abstract

We apply methods in a paper of Tian (Comm. Pure Appl. Math. 68:7 (2015), 1085–1156) to prove that a conic Kähler metric with lower Ricci curvature bound can be approximated by smooth Kähler metrics with the same lower Ricci curvature bound. Furthermore, conic singularities here can be along a simple normal crossing divisor.

Keywords

conic metrics, Ricci curvature

Mathematical Subject Classification 2010

Primary: 53C55

Milestones

Received: 23 December 2014

Revised: 24 September 2015

Accepted: 26 January 2016

Published: 30 August 2016