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Reductive spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 805)

Keywords

  • Homogeneous Space
  • Parallel Transport
  • Holonomy Group
  • Affine Connection
  • Connected Subgroup

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References

  1. S.Kobayashi, K.Nomizu: Foundations of Differential Geometry. Interscience Publ., New York-London, Vol.I (1963), Vol.II (1969).

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  2. S.Kobayashi, K.Nomizu: Foundations of Differential Geometry. Interscience Publ., New York-London, Vol.I (1963), Vol.II (1969).

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  3. O. Kowalski: Riemannian manifolds with general symmetries. Math. Z. 136 (1974), No 2, 137–150.

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  4. -"-: Affine reductive spaces. Beiträge zur Algebra und Geometrie 8 (1979), 99–105.

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  5. O.Kowalski, A.J.Ledger: Regular s-structures on manifolds, preprint, Liverpool 1972.

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  6. O. Loos: Symmetric spaces, Vol.I: General Theory. Math. Lecture Note Series, W.A.Benjamin Inc., New York-Amsterdam 1969.

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  7. C.Chevalley: Theory of Lie Groups I. Princeton Univ.Press, 1946.

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  8. K. Nomizu: Invariant affine connections on homogeneous spaces. Amer.J.Math. 76 (1954) No 1, 33–65.

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© 1980 Springer-Verlag

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Kowalski, O. (1980). Reductive spaces. In: Generalized Symmetric Spaces. Lecture Notes in Mathematics, vol 805. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103326

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  • DOI: https://doi.org/10.1007/BFb0103326

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10002-7

  • Online ISBN: 978-3-540-39329-0

  • eBook Packages: Springer Book Archive