arXiv Analytics

Sign in

arXiv:math/0412185 [math.DG]AbstractReferencesReviewsResources

On stability and the convergence of the Kähler-Ricci flow

D. H. Phong, Jacob Sturm

Published 2004-12-08Version 1

Assuming uniform bounds for the curvature, the exponential convergence of the K\"ahler-Ricci flow is established under two conditions which are a form of stability: the Mabuchi energy is bounded from below, and the dimension of the space of holomorphic vector fields in an orbit of the diffeomorphism group cannot jump up in the limit.

Comments: 18 pages, no figure
Categories: math.DG, math.AP
Related articles: Most relevant | Search more
arXiv:2004.00042 [math.DG] (Published 2020-03-31)
The Kähler-Ricci flow, holomorphic vector fields and Fano bundles
arXiv:math/0702257 [math.DG] (Published 2007-02-09, updated 2007-08-22)
A survey on the Kähler-Ricci flow and Yau's uniformization conjecture
arXiv:2108.03302 [math.DG] (Published 2021-08-06)
Diffeomorphism groups of prime 3-manifolds

Links

Toolbox