Symplectic reflections and complex space forms |
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| Authors: | Bang-Yen Chen Lieven Vanhecke |
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| Affiliation: | (1) Department of Mathematics, Michigan State University, 48824-1027 East Lansing, Michigan, U.S.A.;(2) Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium |
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| Abstract: | 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 Kähler form. |
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