Stability of gradient Kaehler-Ricci solitons

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study stability of non-compact gradient Kaehler-Ricci flow solitons with positive holomorphic bisectional curvature. Our main result is that any compactly supported perturbation and appropriately decaying perturbations of the Kaehler potential of the soliton will converge to the original soliton under Kaehler-Ricci flow as time tends to infinity. To obtain this result, we construct appropriate barriers and introduce an L^p-norm that decays for these barriers with non-negative Ricci curvature.

Keywords

Differential Geometry, Analysis of PDEs, 53C44; 58J37; 35B35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68143

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307293
 http://arxiv.org/abs/math/0307293

Collections

arXiv