Harmonic maps and the topology of conformally compact Einstein manifolds

被引：0

作者：

Leung, NC ^{[1
]}

Wan, TYH

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

MATHEMATICAL RESEARCH LETTERS | 2001年 / 8卷 / 5-6期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the topology of a complete asymptotically hyperbolic Einstein manifold of which its conformal boundary has positive Yamabe invariant. We prove that all maps from such manifold into any nonpositively curved manifold are homotopically trivial. Our proof is based on a Bochner type argument on harmonic maps.

引用

页码：801 / 812

页数：12

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