Positively curved totally real minimal submanifolds immersed in a complex projective space
Author:
Koichi Ogiue
Journal:
Proc. Amer. Math. Soc. 56 (1976), 264-266
DOI:
https://doi.org/10.1090/S0002-9939-1976-0400129-4
MathSciNet review:
0400129
Full-text PDF Free Access
Abstract | References | Additional Information
Abstract: A sufficient condition for a complete totally real minimal submanifold immersed in a complex projective space to be totally geodesic is given in terms of sectional curvature.
- Bang-yen Chen and Koichi Ogiue, On totally real submanifolds, Trans. Amer. Math. Soc. 193 (1974), 257–266. MR 346708, DOI https://doi.org/10.1090/S0002-9947-1974-0346708-7
- 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. 59–75. MR 0273546
- Shing Tung Yau, Submanifolds with constant mean curvature. I, II, Amer. J. Math. 96 (1974), 346–366; ibid. 97 (1975), 76–100. MR 370443, DOI https://doi.org/10.2307/2373638 ---, Submanifolds with constant mean curvature. II, Amer. J. Math. 97 (1975), 76-100.
Additional Information
Keywords:
Totally real submanifold,
minimal submanifold,
complex projective space,
totally geodesic
Article copyright:
© Copyright 1976
American Mathematical Society
