The authors consider ±（Φ, J）-holomorphic maps from Sasakian manifolds into Koihler manifolds, which can be seen as counterparts of holomorphic maps in Kiihler ge- ometry. It is proved that those maps must be h...The authors consider ±（Φ, J）-holomorphic maps from Sasakian manifolds into Koihler manifolds, which can be seen as counterparts of holomorphic maps in Kiihler ge- ometry. 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.展开更多
In this paper,we give a necessary and sufficient condition for a P-Sasakian manifold to be a SP-Sasakian manifold and prove a P-Sasakian manifold of constant curvature - 1 is a SP-Sasakian manifold.
基金supported by the National Natural Science Foundation of China(Nos.10771188,10831008,11071212,11171297)the Doctoral Program Foundation of the Ministry of Education of China(No.20060335133)
文摘The authors consider ±（Φ, J）-holomorphic maps from Sasakian manifolds into Koihler manifolds, which can be seen as counterparts of holomorphic maps in Kiihler ge- ometry. 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.
基金supported by the NNSF of China(11071257)Science Foundation of China University of Petroleum,Beijingsupported by Science and Technology Research Projectof Heilongjiang Provincial Department of Education(12511412)
文摘In this paper,we give a necessary and sufficient condition for a P-Sasakian manifold to be a SP-Sasakian manifold and prove a P-Sasakian manifold of constant curvature - 1 is a SP-Sasakian manifold.
