Abstract
Using Perelman's results on Kähler-Ricci flow, we prove that the $K$-energy is bounded from below if and only if the $F$-functional is bounded from below in the canonical Kähler class.
Citation
Haozhao Li. "On the lower bound of the $K$-energy and $F$-functional." Osaka J. Math. 45 (1) 253 - 264, March 2008.
Information
Published: March 2008
First available in Project Euclid: 14 March 2008
zbMATH: 1138.53056
MathSciNet: MR2416659
Subjects:
Primary:
32Q20
,
53C44
Rights: Copyright © 2008 Osaka University and Osaka City University, Departments of Mathematics