具有Sasakian 3-结构的流形中的对称双重接触CR子流形
Symmetric Twofold Contact CR Submanifolds in Manifolds with Sasakian 3-structure
摘要
对具有Sasakian 3-结构的流形中的对称双重接触CR子流形进行了较为详尽的讨论,得到了几个关于全测地的充要条件和充分条件.
Let M be an n-dimensional symmetric twofold contact CR submanifold of type （Ф1,Ф2） in a manifold M with Sasakian 3-structure. We obtain some necessary and sufficient conditions, some sufficient conditions for M to be totally geodesic in M.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第5期537-540,共4页
Journal of Sichuan Normal University（Natural Science）
基金
四川省重点学科建设基金资助项目
参考文献17
-
1Bejancu A.CR submanifolds of a Kaehlerian manifolds Ⅰ[J].Proc Am Math,1978,69:135 -142.
-
2Bejancu A.CR submanifolds of a Kaehlerian manifolds Ⅱ[J].Trans Am Math Soc,1979,250:333-345.
-
3Bejancu A,Kon M,Yano K.CR submanifolds of a complex space form[J].J Differential Geometry,1981,16:137-145.
-
4Yano K,Kon M.CR submanifolds of a complex projective space[J].J Differential Geometry,1981,16:431 -444.
-
5Chen B Y.CR submanifolds of a Kaehler manifold Ⅰ[J].J Differential Geometry,1981,16:305-322.
-
6Chen B Y.CR submanifolds of a Kaehler manifold Ⅱ[J].J Differential Geometry,1981,16:493-509.
-
7Bejancu A.Geometry of CR Submanifolds[M].Dorprecht:Reidel Publishing Co,1986.
-
8Kobayashi M.Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds[J].Revista Matematica,1991,4:73-95.
-
9Kobayashi M.Symmetric twofold contact CR submanifolds in manifolds with Sasakian 3-structure[J].Tensor N S,1993,52:165-169.
-
10Kuo Y Y.On almost contact 3-structure[J].Tohoku Math J,1970,22:325-332.
二级参考文献1
-
1Yano K，Tensor NS，1979年，33卷，1页
