HARMONIC MAP FLOW FOR ALMOST-HOLOMORPHIC MAPS

被引：0

作者：

Song, Chong ^{[1
]}

Waldron, Alex ^{[2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 128卷 / 03期

关键词：

COMPACT KAHLER-MANIFOLDS; HEAT-FLOW; BLOW-UP; SURFACES; ASYMPTOTICS; SINGULARITY; REGULARITY; EXISTENCE; MAPPINGS; DYNAMICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Sigma be a compact oriented surface and N a compact Kahler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map Sigma -> N (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear.

引用

页码：1225 / 1268

页数：44

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