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ArticleOriginal scientific text

Title

Geodesic spheres and isometric flows

Authors 1, 2

Affiliations

  1. Departamento de Matemática Fundamental, Sección de GeometrÍa y Topología, Universidad de La Laguna, La Laguna, Spain
  2. Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium

Bibliography

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  2. P. Bueken, Reflections and rotations in contact geometry, doctoral dissertation, Catholic University Leuven, 1992.
  3. B. Y. Chen and L. Vanhecke, Differential geometry of geodesic spheres, J. Reine Angew. Math. 325 (1981), 28-67.
  4. M. Djorić and L. Vanhecke, Geometry of geodesic spheres on Sasakian manifolds, Rend. Sem. Mat. Univ. Politec. Torino 49 (1991), 329-357.
  5. M. C. González-Dávila, Espacios transversalmente simétricos de tipo Killing, doctoral dissertation, Universidad de La Laguna, 1992.
  6. J. C. González-Dávila, M. C. González-Dávila and L. Vanhecke, Reflections and isometric flows, Kyungpook Math. J., to appear.
  7. A. Gray and L. Vanhecke, Riemannian geometry as determined by the volumes of small geodesic balls, Acta Math. 142 (1979), 157-198.
  8. B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469.
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  10. B. L. Reinhart, Differential Geometry of Foliations, Ergeb. Math. Grenzgeb. 99, Springer, Berlin, 1983.
  11. T. Takahashi, Sasakian φ-symmetric spaces, Tôhoku Math. J. 29 (1977), 91-113.
  12. Ph. Tondeur, Foliations on Riemannian Manifolds, Universitext, Springer, Berlin, 1988.
  13. Ph. Tondeur and L. Vanhecke, Transversally symmetric Riemannian foliations, Tôhoku Math. J. 42 (1990), 307-317.
  14. Ph. Tondeur and L. Vanhecke, Jacobi fields, Riccati equation and Riemannian foliations, to appear.
  15. L. Vanhecke, Geometry in normal and tubular neighborhoods, in: Proc. Workshop on Differential Geometry and Topology, Cala Gonone (Sardinia) 1988, Rend. Sem. Fac. Sci. Univ. Cagliari, Supplemento al vol. 58 (1988), 73-176.
Colloquium Mathematicum
1994/67/2
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Pages:
223-240
Main language of publication
English
Received
1993-10-04
Published
1994
Exact and natural sciences