March 1, 2008Osaka Journal of MathematicsOpen Access

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

View Full Paper

Ask AI

Bookmark

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.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Haozhao Li (2008) studied this question.

synapsesocial.com/papers/6a86fc5f740e6cf4b5cf8ccf https://doi.org/10.18910/8759

View Full Paper

Ask AI

Bookmark

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.