Stability of gradient Kaehler-Ricci solitons

Simple item page
dc.creatorChau, Albert
dc.creatorSchnuerer, Oliver C.
dc.date2003-07-22
dc.date.accessioned2026-07-07T04:59:49Z
dc.date.available2026-07-07T04:59:49Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0307293
dc.identifierhttp://arxiv.org/abs/math/0307293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68143
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44; 58J37; 35B35
dc.titleStability of gradient Kaehler-Ricci solitons
dc.typetext

Files

Collections

arXiv