Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Real minimal hypersurfaces in a complex projective space


Author: Masahiro Kon
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A characterization of the geodesic minimal hypersphere in a complex projective space is given.


References [Enhancements On Off] (What's this?)

  • [1] H. B. Lawson, Jr., Local rigidity theorems in rank-1 symmetric spaces, J. Differential Geometry 4 (1970), 349-357. MR 0267492 (42:2394)
  • [2] Y. Maeda, On real hypersurfaces of a complex projective space, J. Math. Soc. Japan 28 (1976), 529-540. MR 0407772 (53:11543)
  • [3] M. Okumura, On some real hypersurfaces of a complex projective space, Trans. Amer. Math. Soc. 212 (1975), 355-364. MR 0377787 (51:13956)
  • [4] J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math. (2) 88 (1968), 62-105. MR 0233295 (38:1617)
  • [5] R. Takagi, Real hypersurfaces in a complex projective space with constant principal curvatures, J. Math. Soc. Japan 27 (1975), 43-53. MR 0355906 (50:8380)
  • [6] K. Yano, On harmonic and Killing vector fields, Ann. of Math. (2) 55 (1952), 38-45. MR 0046122 (13:689a)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C40, 53C25

Retrieve articles in all journals with MSC: 53C40, 53C25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0565355-3
Keywords: Real hypersurfaces, geodesic minimal hypersphere, sectional curvature
Article copyright: © Copyright 1980 American Mathematical Society

American Mathematical Society