Harmonic map flow for almost-holomorphic maps

Autor:	Song, Chong, Waldron, Alex
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Let $\Sigma$ be a compact oriented surface and $N$ a compact K\"ahler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map $\Sigma \to N$ (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear. Comment: Revised version following referee reports
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.07242 Zobrazit plný text záznamu View this record from Arxiv