Totally real minimal submanifolds of a complex projective space
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- by Francisco Urbano PDF
- Proc. Amer. Math. Soc. 93 (1985), 332-334 Request permission
Abstract:
An $n$-dimensional positively curved compact totally real minimal submanifold of an $n$-dimensional complex projective space is totally geodesic.References
- Bang-Yen Chen and Chorng Shi Houh, Totally real submanifolds of a quaternion projective space, Ann. Mat. Pura Appl. (4) 120 (1979), 185–199. MR 551066, DOI 10.1007/BF02411943
- Koichi Ogiue, Positively curved totally real minimal submanifolds immersed in a complex projective space, Proc. Amer. Math. Soc. 56 (1976), 264–266. MR 400129, DOI 10.1090/S0002-9939-1976-0400129-4
- 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
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 332-334
- MSC: Primary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770548-0
- MathSciNet review: 770548