A second variation formula for Perelman's $\mathcal{W}$-functional along the modified Kähler-Ricci flow

Details A second variation formula for Perelman's $\mathcal{W}$-functional along the modified Kähler-Ricci flow A second variation formula for Perelman's $\mathcal{W}$-functional along the modified Kähler-Ricci flow

2012-01-04

arxiv.org/abs/1201.0970v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We show a quite simple second variation formula for Perelman's
$\mathcal{W}$-functional along the modified K\"ahler-Ricci flow over Fano
manifolds.

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