Ancient solution to Kahler-Ricci flow

Simple item page
dc.creatorNi, Lei
dc.date2005-02-23
dc.date2005-03-14
dc.date.accessioned2026-07-07T05:17:25Z
dc.date.available2026-07-07T05:17:25Z
dc.descriptionIn this paper, we prove that any non-flat ancient solution to Kähler-Ricci flow with bounded nonnegative bisectional curvature has asymptotic volume ratio zero. We also prove that any gradient shrinking solitons with positive bisectional curvature must be compact. Both results generalize the corresponding earlier results of Perelman in \cite{P1} and \cite{P2}. The results can be applied to study the geometry and function theory of complete Kähler manifolds with nonnegative bisectional curvature via Kähler-Ricci flow. It also implies a compactness theorem on ancient solutions to Kähler-Ricci flow.
dc.descriptionWe sharpen the statement of the result on shrinking solitons in this newer version
dc.identifierhttps://arxiv.org/abs/math/0502494
dc.identifierhttp://arxiv.org/abs/math/0502494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74296
dc.subjectDifferential Geometry
dc.titleAncient solution to Kahler-Ricci flow
dc.typetext

Files

Collections

arXiv