Naturally reductive Riemannian homogeneous structures on some classes of generic submanifolds in complex space forms |
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Authors: | Nagai Setsuo |
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Institution: | (1) Department of Mathematics, Saitama University, Urawa, 338 Saitama, Japan |
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Abstract: | We prove that the universal covering spaces of the generic submanifolds
of C
P
n
and
of C
H
n
are naturally reductive homogeneous spaces by determining explicitly tensor fields defining naturally reductive homogeneous structures on them. |
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Keywords: | 53B20 53C30 53C40 53C55 |
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