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Self-dual and anti-self-dual homogeneous structures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1045)

Keywords

  • Riemannian Manifold
  • Invariant Subspace
  • Homogeneous Structure
  • Homogeneous Manifold
  • Homogeneous Riemannian Manifold

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References

  1. Ambrose, W. & Singer, I.M., On homogeneous Riemannian manifolds, Duke Math. J. 25 (1958), 647–669.

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  2. Atiyah, M., Hitchin, N. & Singer, I.M., Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. London A362 (1978), 425–461.

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  3. Gray, A., Riemannian manifolds with geodesic symmetries of order 3, J. Differential Geometry 7 (1972), 343–369.

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  4. Kowalski, O., Generalized symmetric spaces, Lecture Notes in Mathematics, 805, Springer-Verlag, Berlin, Heidelberg, New York, 1980.

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  5. Singer, I.M. & Thorpe, J.A., The curvature of 4-dimensional Einstein spaces, in Global Analysis, Papers in Honor of K. Kodaira, eds. D. C. Spencer & S. Iyanaga, Princeton University Press and University of Tokyo Press, Princeton, 1969, 355–365.

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  6. Tricerri, F. & Vanhecke, L., Homogeneous structures on Riemannian manifolds, to appear in Lecture Note Series, London Math. Soc., 1983.

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  7. Weyl, H., Classical groups, their invariants and representations, Princeton University Press, Princeton, 1946.

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© 1984 Springer-Verlag

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Tricerri, F., Vanhecke, L. (1984). Self-dual and anti-self-dual homogeneous structures. In: Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072179

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  • DOI: https://doi.org/10.1007/BFb0072179

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12882-3

  • Online ISBN: 978-3-540-38766-4

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