학술논문
Totally real submanifolds.
Document Type
Journal
Author
Chen, Bang-yen AMS Author Profile; Houh, Chorng Shi AMS Author Profile; Lue, Huei Shyong AMS Author Profile
Source
Subject
53 Differential geometry -- 53C Global differential geometry
53C40Global submanifolds
53C40
Language
English
Abstract
A partial characterization of totally real submanifolds and partial classifications of totally real submanifolds in complex space forms were studied by the first author and K. Ogiue [Trans. Amer. Math. Soc. {\bf 193} (1974), 257--266; MR0346708 (49 \#11433)]. In the present paper, the authors continue to study fundamental properties of totally real submanifolds. In particular, they obtain two reduction theorems for totally real submanifolds in complex space forms and study totally real submanifolds with parallel mean curvature vector.