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Totally complex submanifolds of the Cayley projective plane

Published online by Cambridge University Press:  18 May 2009

Liu Ximin
Liu Ximin
Affiliation:
Department of Mathematics, Nankai University, Tianjin 300071, P. R. China
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Abstract

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Let h be the second fundamental form of a compact submanifold M of the Cayley projective plane CaP2. We determine all compact totally complex submanifolds of complex dimension n in CaP2 satisfying |h|2 ≤ n.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 2 , May 1998 , pp. 161 - 166
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

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