Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 3
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- Pages.743-756
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
On generic submanifolds of a complex projective space
- Seong Baek Lee (Chosun University, Kwangju 501-759, Korea) ;
- Seung Gook Han (Chosun University, Kwangju 501-759, Korea) ;
- Nam Gil Kim (Chosun University, Kwangju 501-759, Korea) ;
- Seong Soo Ahn (Dong Shin University, Naju, Korea 520-714)
- Published : 1996.07.01
Abstract
The purpose of this paper is to compute the covariant derivative of a shape operator of a generic submanifold of a complex space form without using the Green-Stoke's theorem. In particular, we classify complete generic submanifolds of a complex number space $C^m$ with parallel mean curvature vector satisfying a certain condition.