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ArticleOriginal scientific text

Title

Jacobi operator for leaf geodesics

Authors 1

Affiliations

  1. Institute of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Keywords

ENG
leaf geodesic, foliation, variation, Jacobi operator

Bibliography

  1. [Es] R. S. Escobales, Riemannian submersions from spheres, J. Differential Geom. 10 (1975), 105-147.
  2. [Kl] W. Klingenberg, Riemannian Geometry, Walter de Gruyter, Berlin 1982.
  3. [Ra] A. Ranjan, Structural equations and an integral formula for foliated manifolds, Geom. Dedicata 20 (1986), 85-91.
  4. [Re] B. L. Reinhart, Differential Geometry of Foliations, Springer, Berlin 1983.
  5. [Wa1] P. G. Walczak, Mean curvature functions for codimension-one foliations with all leaves compact, Czechoslovak Math. J. 34 (1984), 146-155.
  6. [Wa2] P. G. Walczak, Dynamics of the geodesic flow of a foliation, Ergodic Theory and Dynamical Systems 8 (1988), 637-650.
Colloquium Mathematicum
1993/65/2
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Pages:
213-226
Main language of publication
English
Received
1992-10-23
Published
1993
Exact and natural sciences