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Laplacian and riemannian submersions with totally geodesic fibres

Part of the Lecture Notes in Mathematics book series (LNM,volume 838)

Keywords

  • Vector Field
  • Riemannian Manifold
  • Canonical Variation
  • Holonomy Group
  • Riemannian Submersion

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References

  1. L. BERARD BERGERY et J.P. BOURGUIGNON, Laplacian and submersions (to appear).

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  2. R. HERMANN, A sufficient condition that a mapping of Riemannian manifolds be a fiber bundle, Proc. Amer. Math. Soc. 11 (1960) p. 236–242.

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  4. H.MUTO and H.URAKAWA, On the least positive eigenvalue of Laplacian on compact homogeneous spaces, preprint Tôhoku University.

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  5. B. O’NEILL, The fundamental equations of a submersion, Michigan Math. J. 13 (1966) p. 459–469.

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  6. S. TANNO, The first eigenvalue of the Laplacian on spheres, Tôhoku Math. J. 31 (1979) p. 179–185.

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© 1981 Springer-Verlag

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Bergery, L.B., Bourguignon, J.P. (1981). Laplacian and riemannian submersions with totally geodesic fibres. In: Ferus, D., Kühnel, W., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088839

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  • DOI: https://doi.org/10.1007/BFb0088839

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10285-4

  • Online ISBN: 978-3-540-38419-9

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