The Conjugate Nets, Cartan Submanifolds, and Laplace Transformations in Space Forms

✍ Scribed by Haizhong Li; Zhen Guo

• Book ID: 102598489
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 152 KB
• Volume: 267
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7810

✦ Synopsis

In this paper we establish the geometric theory of conjugate nets, Cartan submanifolds, and Laplace transformations in sphere and pseudo-sphere spaces. The corresponding theory in cases of projective and Euclidean spaces has been established by Chern, Kamran and Tenenblat.