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| Holomorphic Maps from Sasakian Manifolds into K¨ahler Manifolds |
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Citation： |
Bin SHEN,Yibing SHEN,Xi ZHANG.Holomorphic Maps from Sasakian Manifolds into K¨ahler Manifolds[J].Chinese Annals of Mathematics B,2013,34(4):575~586 |
| Page view： 1843
Net amount： 1202 |
Authors： |
Bin SHEN; Yibing SHEN; Xi ZHANG; |
Foundation： |
National Natural Science Foundation of China (Nos. 10771188, 10831008,11071212, 11171297) and the Doctoral Program Foundation of the Ministry of Education of China (No.20060335133). |
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| Abstract： |
The authors consider ±(Φ, J)-holomorphic maps from Sasakian manifolds into
K¨ahler manifolds, which can be seen as counterparts of holomorphic maps in K¨ahler 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. |
Keywords： |
Sasakian manifold, Harmonic, Schwarz lemma, Homotopic invariant |
Classification： |
53C21, 55P91 |
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