Properness of log $F$-functionals

Abstract

In this paper, we apply the method developed in [Ti97] and [TZ00] to proving the properness of log $F$-functional on any conic Kähler-Einstein manifolds. As an application, we give an alternative proof for the openness of the continuity method through conic Kähler-Einstein metrics.

21 pages

References in corpus (4)

• K-stability and Kähler-Einstein metrics
• A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem
• Conical Kahler-Einstein metric revisited
• Ricci flat Kahler metrics with edge singularities