Jacobi operator for leaf geodesics
Colloquium Mathematicae (1993)
- Volume: 65, Issue: 2, page 213-226
- ISSN: 0010-1354
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topWalczak, Paweł. "Jacobi operator for leaf geodesics." Colloquium Mathematicae 65.2 (1993): 213-226. <http://eudml.org/doc/210215>.
@article{Walczak1993,
author = {Walczak, Paweł},
journal = {Colloquium Mathematicae},
keywords = {leaf geodesic; foliation; variation; Jacobi operator; leaf geodesics; Weingarten operator; Riemannian manifold; differential operator},
language = {eng},
number = {2},
pages = {213-226},
title = {Jacobi operator for leaf geodesics},
url = {http://eudml.org/doc/210215},
volume = {65},
year = {1993},
}
TY - JOUR
AU - Walczak, Paweł
TI - Jacobi operator for leaf geodesics
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 2
SP - 213
EP - 226
LA - eng
KW - leaf geodesic; foliation; variation; Jacobi operator; leaf geodesics; Weingarten operator; Riemannian manifold; differential operator
UR - http://eudml.org/doc/210215
ER -
References
top- [Es] R. S. Escobales, Riemannian submersions from spheres, J. Differential Geom. 10 (1975), 105-147.
- [Kl] W. Klingenberg, Riemannian Geometry, Walter de Gruyter, Berlin 1982.
- [Ra] A. Ranjan, Structural equations and an integral formula for foliated manifolds, Geom. Dedicata 20 (1986), 85-91. Zbl0578.53025
- [Re] B. L. Reinhart, Differential Geometry of Foliations, Springer, Berlin 1983.
- [Wa1] P. G. Walczak, Mean curvature functions for codimension-one foliations with all leaves compact, Czechoslovak Math. J. 34 (1984), 146-155.
- [Wa2] P. G. Walczak, Dynamics of the geodesic flow of a foliation, Ergodic Theory and Dynamical Systems 8 (1988), 637-650. Zbl0663.53028
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