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http://dx.doi.org/10.4134/BKMS.2002.39.2.327

J-INVARIANT SUBMANIFOLDS OF CODIMENSION 2 IN A COMPLEX PROJECTIVE SPACE  

Choe, Yeong-Wu (DEPARTMENT OF MATHEMATICS, CATHOLIC UNIVERSITY OF DAEGU)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 327-332 More about this Journal
Abstract
In this paper we prove that if M is a J-invariant sub-manifold of codimension 2 in a complex projective space $P_{n+1}(C)$, and the second fundamental tensor is cyclic-parallel or M has harmonic curvature, then M is locally complex quadric Q$_n$(C) or P$_n$(C).
Keywords
J-invariant submanifold; complex projective space; cyclic-parallel; harmonic curvature;
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