CHARACTERIZATION OF CR SUBMANIFOLD IN A COMPLEX PROJECTIVE SPACE IN TERMS OF RICCI TENSORS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.1, pp.7-18
Choe, Yeong-Wu
(Department of Mathematics, Catholic University of Daegu)
Lee, Hyun-Jin
(Department of Mathematics, Catholic University of Daegu)
Choe, Yeong-Wu,
&
Lee, Hyun-Jin.
(2000). CHARACTERIZATION OF CR SUBMANIFOLD IN A COMPLEX PROJECTIVE SPACE IN TERMS OF RICCI TENSORS. 한국수학교육학회지시리즈B:순수및응용수학, 7(1), 7-18.
Abstract
Let M be an n-dimensional CR submanifold CR dimension n - l of a complex projective space M. We characterize M of <TEX>$\bar{M}$</TEX> in terms of an estimations of the length of the derivative of Ricci tensor of the length of Ricci tensor.
- keywords
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CR submanifold,
CR dimension,
maximal J-invariant,
real hypersur-face,
complex projective space,
geodesic hypersphere