Holomorphic Maps from Sasakian Manifolds into Khler Manifolds

被引：0

作者：

Bin SHEN ^{[1
,2
]}

Yibing SHEN ^{[3
]}

Xi ZHANG ^{[3
]}

机构：

[1] Department of Mathematics, Southeast University

[2] Department of Mathematics,Zhejiang University

[3] Department of Mathematics, Zhejiang University

来源：

Chinese Annals of Mathematics(Series B) | 2013年 / 34卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Sasakian manifold; Harmonic; Schwarz lemma; Homotopic invariant;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

The authors consider ±(Φ, J)-holomorphic maps from Sasakian manifolds into Ka¨hler manifolds, which can be seen as counterparts of holomorphic maps in Ka¨hler geometry. It is proved that those maps must be harmonic and basic. Then a Schwarz lemma for those maps is obtained. On the other hand, an invariant in its basic homotopic class is obtained. Moreover, the invariant is just held in the class of basic maps.

引用

页码：575 / 586

页数：12

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