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Homogeneous manifolds with negative curvature. I. (English) Zbl 0293.53017


MSC:

53C30 Differential geometry of homogeneous manifolds
57S15 Compact Lie groups of differentiable transformations
57S20 Noncompact Lie groups of transformations
53C20 Global Riemannian geometry, including pinching
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References:

[1] Robert Azencott and Edward Wilson, Variétés homogènes à courbure négative, C. R. Acad. Sci. Paris Sér. A 278 (1974), 561 – 562 (French). · Zbl 0283.53042
[2] A. Borel, Lectures on symmetric spaces, dittoed notes, Massachusetts Institute of Technology, 1958.
[3] É. Cartan, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1928. · JFM 54.0755.01
[4] E. Heintze, On homogeneous manifolds of negative curvature (pre-publication manuscript). · Zbl 0273.53042
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[11] S. B. Myers and N. E. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. (2) 40 (1939), no. 2, 400 – 416. · Zbl 0021.06303
[12] Nolan R. Wallach, Harmonic analysis on homogeneous spaces, Marcel Dekker, Inc., New York, 1973. Pure and Applied Mathematics, No. 19. · Zbl 0265.22022
[13] Joseph A. Wolf, Homogeneity and bounded isometries in manifolds of negative curvature, Illinois J. Math. 8 (1964), 14 – 18. · Zbl 0126.17702
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