Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 4
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- Pages.835-848
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Totally real submanifolds with parallel mean curvature vector in a complex space form
- Ki, U-Hang (Department of Mathematics Kyungpook National University ) ;
- Kim, Byung-Hak (Department of Mathematics Kyung Hee University ) ;
- Kim, He-Jin (Department of Mathematics Kyungpook National University )
- Published : 1995.11.01
Abstract
Let $M_n$(c) be an n-dimensional complete and simply connected Kahlerian manifold of constant holomorphic sectional curvature c, which is called a complex space form. Then according to c > 0, c = 0 or c < 0 it is a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$.