Positively curved totally real minimal submanifolds immersed in a complex projective space
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- by Koichi Ogiue
- Proc. Amer. Math. Soc. 56 (1976), 264-266
- DOI: https://doi.org/10.1090/S0002-9939-1976-0400129-4
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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.References
- Bang-yen Chen and Koichi Ogiue, On totally real submanifolds, Trans. Amer. Math. Soc. 193 (1974), 257–266. MR 346708, DOI 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 10.2307/2373638 —, Submanifolds with constant mean curvature. II, Amer. J. Math. 97 (1975), 76-100.
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 264-266
- DOI: https://doi.org/10.1090/S0002-9939-1976-0400129-4
- MathSciNet review: 0400129