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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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Clifford isometries of the real Stiefel manifolds
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by Oscar A. Cámpoli PDF
Proc. Amer. Math. Soc. 97 (1986), 307-310 Request permission

Abstract:

We give a complete characterization of the elements in $SO(n)$ that are Clifford isometries of the real Stiefel manifold $S(n,k)$ of orthonormal $k$-frames in euclidean space ${{\mathbf {R}}^n}$.
References
  • Oscar A. Cámpoli, Clifford isometries of compact homogeneous Riemannian manifolds, Rev. Un. Mat. Argentina 31 (1983), no. 1-2, 44–49. MR 882878
    • J. A. Wolf, Spaces of constant curvature, 4th ed., Publish or Perish, Berkeley, Calif.
  • Joseph A. Wolf, Locally symmetric homogeneous spaces, Comment. Math. Helv. 37 (1962/63), 65–101. MR 148012, DOI 10.1007/BF02566963
    • —, Vincent’s conjecture on Clifford translations of the sphere, Comm. Math. Helv. 36 (1962), 33-41.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 307-310
  • MSC: Primary 53C30; Secondary 57R99
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0835887-4
  • MathSciNet review: 835887