A symmetric space of noncompact type has no equivariant isometric immersions into the Euclidean space

Vargas, Jorge

doi:10.1090/S0002-9939-1981-0589158-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

A symmetric space of noncompact type has no equivariant isometric immersions into the Euclidean space
HTML articles powered by AMS MathViewer

by Jorge Vargas

Proc. Amer. Math. Soc. 81 (1981), 149-150

DOI: https://doi.org/10.1090/S0002-9939-1981-0589158-X

PDF | Request permission

References

Ludwig Bieberbach, Eine singularitätenfreie Fläche konstanter negativer Krümmung in Hilbertschen Raum, Comment. Math. Helv. 4 (1932), no. 1, 248–255 (German). MR 1509459, DOI 10.1007/BF01202719
Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
John Douglas Moore, Equivariant embeddings of Riemannian homogeneous spaces, Indiana Univ. Math. J. 25 (1976), no. 3, 271–279. MR 442850, DOI 10.1512/iumj.1976.25.25022