Holomorphic maps from Sasakian manifolds into Kahler manifolds

被引：1
|
作者：
Shen, Bin [1 ,2 ]
Shen, Yibing [2 ]
Zhang, Xi [2 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
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; GENERAL SCHWARZ-LEMMA; EINSTEIN MANIFOLDS; GEOMETRY;
D O I：
10.1007/s11401-013-0779-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors consider +/-(I broken vertical bar, J)-holomorphic maps from Sasakian manifolds into Kahler manifolds, which can be seen as counterparts of holomorphic maps in Kahler 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.
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页码：575 / 586
页数：12
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