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Proceedings of the American Mathematical Society

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Clifford isometries of the real Stiefel manifolds


Author: Oscar A. Cámpoli
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
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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 [Enhancements On Off] (What's this?)

  • [1] Oscar A. Cámpoli, Clifford isometries of compact homogeneous Riemannian manifolds, Rev. Un. Mat. Argentina 31 (1983), no. 1-2, 44–49. MR 882878
  • [2] J. A. Wolf, Spaces of constant curvature, 4th ed., Publish or Perish, Berkeley, Calif.
  • [3] Joseph A. Wolf, Locally symmetric homogeneous spaces, Comment. Math. Helv. 37 (1962/1963), 65–101. MR 0148012, https://doi.org/10.1007/BF02566963
  • [4] -, Vincent's conjecture on Clifford translations of the sphere, Comm. Math. Helv. 36 (1962), 33-41.

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DOI: https://doi.org/10.1090/S0002-9939-1986-0835887-4
Article copyright: © Copyright 1986 American Mathematical Society