Real minimal hypersurfaces in a complex projective space
HTML articles powered by AMS MathViewer
- by Masahiro Kon PDF
- Proc. Amer. Math. Soc. 79 (1980), 285-288 Request permission
Abstract:
A characterization of the geodesic minimal hypersphere in a complex projective space is given.References
- H. Blaine Lawson Jr., Rigidity theorems in rank-$1$ symmetric spaces, J. Differential Geometry 4 (1970), 349–357. MR 267492
- Yoshiaki Maeda, On real hypersurfaces of a complex projective space, J. Math. Soc. Japan 28 (1976), no. 3, 529–540. MR 407772, DOI 10.2969/jmsj/02830529
- Masafumi Okumura, On some real hypersurfaces of a complex projective space, Trans. Amer. Math. Soc. 212 (1975), 355–364. MR 377787, DOI 10.1090/S0002-9947-1975-0377787-X
- James Simons, Minimal varieties in riemannian manifolds, Ann. of Math. (2) 88 (1968), 62–105. MR 233295, DOI 10.2307/1970556
- Ryoichi Takagi, Real hypersurfaces in a complex projective space with constant principal curvatures, J. Math. Soc. Japan 27 (1975), 43–53. MR 355906, DOI 10.2969/jmsj/02710043
- Kentaro Yano, On harmonic and Killing vector fields, Ann. of Math. (2) 55 (1952), 38–45. MR 46122, DOI 10.2307/1969418
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 285-288
- MSC: Primary 53C40; Secondary 53C25
- DOI: https://doi.org/10.1090/S0002-9939-1980-0565355-3
- MathSciNet review: 565355