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Complex Space Forms Immersed in Complex Space Forms

✍ Scribed by H. Nakagawa and K. Ogiue


Book ID
125682730
Publisher
American Mathematical Society
Year
1976
Tongue
English
Weight
254 KB
Volume
219
Category
Article
ISSN
0002-9947

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Symplectic reflections and complex space
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We prove that a Hermitian manifold is a complex space form if and only if the local reflections with respect to any holomorphic surface are symplectic, i.e., preserve the Kihler form.

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