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Projective hyperbolicity and fixed points

Published online by Cambridge University Press:  01 June 2006

THÉRÈSE VIVIER
THÉRÈSE VIVIER
Affiliation:
150 avenue Armand Guillebaud, 92160 Antony, France (e-mail: therese.vivier@polytechnique.org)
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Abstract

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Generalizing a three-dimensional result of Doering, we prove that a robustly transitive vector field defined on a compact manifold of any dimension greater than three admits no fixed point.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 3 , June 2006 , pp. 923 - 936
Copyright
2006 Cambridge University Press