Symplectic reflections and complex space forms

✍ Scribed by Bang-Yen Chen; Lieven Vanhecke

• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 199 KB
• Volume: 9
• Category: Article
• ISSN: 0232-704X
• DOI: 10.1007/bf00136812

✦ Synopsis

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.