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Parallel submanifolds of complex space forms I

Published online by Cambridge University Press:  22 January 2016

Hiroo Naitoh
Hiroo Naitoh*
Affiliation:
Department of Mathematics, Yamaguchi University, Yamaguchi, 753, Japan
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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).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 90 , June 1983 , pp. 85 - 117
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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