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)

 
 

 

Topology of certain submanifolds in the Euclidean sphere


Author: Y. L. Xin
Journal: Proc. Amer. Math. Soc. 82 (1981), 643-648
MSC: Primary 58E20; Secondary 53C20, 57N15
DOI: https://doi.org/10.1090/S0002-9939-1981-0614895-8
MathSciNet review: 614895
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Using the nonexistence theorem for stable harmonic maps, we study the fundamental group of certain submanifolds in the Euclidean sphere.


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

  • [1] J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. MR 0164306 (29:1603)
  • [2] J. Eells and L. Lemaire, A report on harmonic maps, Bull. London Math. Soc. 10 (1978), 1-68. MR 495450 (82b:58033)
  • [3] R. Schoen and S. T. Yau, Harmonic maps and topology of stable hypersurfaces and manifolds with non-negative Ricci curvature, Comment. Math. Helv. 39 (1976), 333-341. MR 0438388 (55:11302)
  • [4] J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math. (2) 88 (1968), 62-105. MR 0233295 (38:1617)
  • [5] Y. L. Xin, Some results on harmonic maps, Duke Math. J. 47 (1980), 609-613. MR 587168 (81j:58041)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58E20, 53C20, 57N15

Retrieve articles in all journals with MSC: 58E20, 53C20, 57N15


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0614895-8
Article copyright: © Copyright 1981 American Mathematical Society

American Mathematical Society