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

Title & Authors
J-INVARIANT SUBMANIFOLDS OF CODIMENSION 2 IN A COMPLEX PROJECTIVE SPACE
Choe, Yeong-Wu;

Abstract
In this paper we prove that if M is a J-invariant sub-manifold of codimension 2 in a complex projective space $\small{P_{n+1}(C)}$, and the second fundamental tensor is cyclic-parallel or M has harmonic curvature, then M is locally complex quadric Q$\small{_n}$(C) or P$\small{_n}$(C).
Keywords
J-invariant submanifold;complex projective space;cyclic-parallel;harmonic curvature;
Language
English
Cited by
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