Parallel submanifolds of complex space forms I

Complete parallel submanifolds of a real space form of constant sectional curvature k have been completely classified by Ferus [3] when k ≧ 0, and by Takeuchi [19] when k < 0. A complex space form is by definition a 2n-dimensional simply connected Hermitian symmetric space of constant holomorphic...

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Bibliographic Details
Published in:Nagoya mathematical journal 1983-06, Vol.90, p.85-117
Main Author: Naitoh, Hiroo
Format: Article
Language:English
Subjects:
53C35
53C40
53C55
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Summary:Complete parallel submanifolds of a real space form of constant sectional curvature k have been completely classified by Ferus [3] when k ≧ 0, and by Takeuchi [19] when k < 0. A complex space form is by definition a 2n-dimensional simply connected Hermitian symmetric space of constant holomorphic sectional curvature c and will be denoted by (c).
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000020365