Osaka Journal of Mathematics

On the lower bound of the $K$-energy and $F$-functional

Haozhao Li

Full-text: Open access

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.

Article information

Source
Osaka J. Math., Volume 45, Number 1 (2008), 253-264.

Dates
First available in Project Euclid: 14 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1205503567

Mathematical Reviews number (MathSciNet)
MR2416659

Zentralblatt MATH identifier
1138.53056

Subjects
Primary: 32Q20: Kähler-Einstein manifolds [See also 53Cxx] 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

Citation

Li, Haozhao. On the lower bound of the $K$-energy and $F$-functional. Osaka J. Math. 45 (2008), no. 1, 253--264. https://projecteuclid.org/euclid.ojm/1205503567


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