On totally real submanifolds
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- by Bang-yen Chen and Koichi Ogiue PDF
- Trans. Amer. Math. Soc. 193 (1974), 257-266 Request permission
Abstract:
Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian manifold. In this paper, some characterizations of totally real submanifolds are given. Moreover some classifications of totally real submanifolds in complex space forms are obtained.References
- Bang-yen Chen, Geometry of submanifolds, Pure and Applied Mathematics, No. 22, Marcel Dekker, Inc., New York, 1973. MR 0353212
- S. S. Chern, M. do Carmo, and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, Functional Analysis and Related Fields (Proc. Conf. for M. Stone, Univ. Chicago, Chicago, Ill., 1968) Springer, New York, 1970, pp.Β 59β75. MR 0273546
- Chorng-shi Houh, Some totally real minimal surfaces in $CP^{2}$, Proc. Amer. Math. Soc. 40 (1973), 240β244. MR 317189, DOI 10.1090/S0002-9939-1973-0317189-9
- Koichi Ogiue, On invariant immersions, Ann. Mat. Pura Appl. (4) 80 (1968), 387β397. MR 244894, DOI 10.1007/BF02413638 S. T. Yau, Submanifolds with constant mean curvature. I (to appear).
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 193 (1974), 257-266
- MSC: Primary 53C40
- DOI: https://doi.org/10.1090/S0002-9947-1974-0346708-7
- MathSciNet review: 0346708