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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A symmetric space of noncompact type has no equivariant isometric immersions into the Euclidean space
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Proc. Amer. Math. Soc. 81 (1981), 149-150 Request permission

References

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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