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)

 

 

Minimal immersions of $ 2$-spheres in $ S\sp{4}$


Author: Ernst A. Ruh
Journal: Proc. Amer. Math. Soc. 28 (1971), 219-222
MSC: Primary 53.75
DOI: https://doi.org/10.1090/S0002-9939-1971-0271880-X
MathSciNet review: 0271880
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The classification of isolated singularities of minimal varieties leads to the study of minimal manifolds in the $ n$-sphere. The object of this paper is to show that a minimal $ 2$-sphere in $ {S^4}$ with trivial normal bundle is the standard $ 2$-sphere.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53.75

Retrieve articles in all journals with MSC: 53.75


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0271880-X
Keywords: Codazzi equations, Euler number, minimal immersion, normal bundle, parallel mean curvature
Article copyright: © Copyright 1971 American Mathematical Society