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



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

Haozhao Li

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

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.

Primary Subjects: 32Q20, 53C44

Full-text: Access granted (open access)

Links and Identifiers

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

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