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Croissance des boules et des géodésiques fermées dans les nilvariétés

Published online by Cambridge University Press:  19 September 2008

Pierre Pansu
Pierre Pansu
Affiliation:
Centre de Mathematiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France
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Abstract

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If (M, g) is a riemannian nilmanifold, the homothetic metrics εg˜ on the universal cover M converge in the sense of Gromov for small ε. In this convergence the volume of balls and the number of closed geodesies go to a limit, and precise asymptotic estimates are given for these numbers.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 3 , September 1983 , pp. 415 - 445
Copyright
Copyright © Cambridge University Press 1983

References

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