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.
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