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Natural Lagrangian systems without conjugate points†

Published online by Cambridge University Press:  19 September 2008

Nobuhiro Innami
Nobuhiro Innami
Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, Japan
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Abstract

The variation vector fields through extremals of the variational principles of natural Lagrangian functions satisfy the equation of Jacobi type. By making use of the Jacobi equation we obtain the estimates of measure-theoretic entropy for natural Lagrangian systems without conjugate points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 1 , March 1994 , pp. 169 - 180
Copyright
Copyright © Cambridge University Press 1994

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References

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