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Transversal curvature and tautness for riemannian foliations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1481)

Keywords

  • Riemannian Manifold
  • Cohomology Class
  • Normal Bundle
  • Riemannian Foliation
  • Minimal Submanifolds

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References

  1. J. A. Alvarez López, The basic component of the mean curvature of Riemannian foliations, Math Ann. (to appear).

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  2. J. Hebda, Curvature and focal points in Riemannian foliations, Indiana Univ. Math. J. 35 (1986), 321–331.

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  3. F. W. Kamber and Ph. Tondeur, Foliations and metrics, Proc. of the 1981–82 Year in Differential Geometry, Univ. of Maryland, Birkhäuser, Progress in Math. 32 (1983), 103–152.

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  4. X. M. Masa, Duality and minimality in Riemannian foliations, (to appear).

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  5. M.Min-Oo, E. A. Ruh and Ph. Tondeur, Vanishing theorems for the basic cohomology of Riemannian foliations, Journal für die reine und angewandte Mathematik (to appear).

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  6. B. Reinhart, Differential Geometry of Foliations, Ergeb. Math. 99 (1983), Springer Verlag, New York.

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  7. Ph. Tondeur, “Foliations on Riemannian manifolds,” Springer Universitext, 1988.

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© 1991 Springer-Verlag

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Min-Oo, M., Ruh, E.A., Tondeur, P. (1991). Transversal curvature and tautness for riemannian foliations. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083638

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  • DOI: https://doi.org/10.1007/BFb0083638

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54728-0

  • Online ISBN: 978-3-540-46445-7

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