Homogeneous minimal surfaces in Euclidean spheres with flat normal connections
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- by Kichoon Yang
- Proc. Amer. Math. Soc. 94 (1985), 119-122
- DOI: https://doi.org/10.1090/S0002-9939-1985-0781068-1
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Abstract:
We classify, up to congruence, homogeneous minimal surfaces in Euclidean spheres with flat normal connections. The parameter varieties in the space of contact invariants of E. Cartan are computed for all codimensions.References
- E. Cartan, Théorie des groupe finis et continues et la géométrie différentielle traitées par la méthode du repère mobile, Gauthier-Villars, Paris, 1937.
—, Les systèmes différentiels extérieurs et leurs applications géométriques, Hermann, Paris, 1945.
- Wu-yi Hsiang, Remarks on closed minimal submanifolds in the standard Riemannian $m$-sphere, J. Differential Geometry 1 (1967), 257–267. MR 225244
- Gary R. Jensen, Higher order contact of submanifolds of homogeneous spaces, Lecture Notes in Mathematics, Vol. 610, Springer-Verlag, Berlin-New York, 1977. MR 0500648 K. Yang, Prolongations of exterior differential systems, preprint 1982.
Bibliographic Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 119-122
- MSC: Primary 53C42; Secondary 58A17
- DOI: https://doi.org/10.1090/S0002-9939-1985-0781068-1
- MathSciNet review: 781068