Jacobi operator for leaf geodesics

• Autorzy: Paweł G. Walczak
• Języki publikacji: EN

Słowa kluczowe

EN

leaf geodesic; foliation; variation; Jacobi operator

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 2
• Strony: 213-226

Daty

wydano

1993

otrzymano

1992-10-23

Twórcy

autor

Paweł G. Walczak

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

Bibliografia

• [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.
• [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.