Naturally reductive Riemannian homogeneous structures on some classes of generic submanifolds in complex space forms

✍ Scribed by Setsuo Nagai

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 515 KB
• Volume: 62
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00181567

✦ Synopsis

We prove that the universal coveting spaces of the genetic submanifolds MCk,...,m0 of CP~ and Mhk ,...,r~o of CHn are naturally reductive homogeneous spaces by determining explicitly tensor fields defining naturally reductive homogeneous structures on them.