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DYNAMIQUE DES VARIÉTÉS AFFINES

Published online by Cambridge University Press:  23 May 2001

PAR TSEMO ARISTIDE
PAR TSEMO ARISTIDE
Affiliation:
Département de Mathématiques, Université de Montpellier II, Place Eugène Bataillon, 34095 Montpellier, France; [email protected]
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Abstract

An n-affine manifold is a differentiable manifold endowed with an atlas whose transition functions are locally affine transformations of ℝn . The paper studies affine dynamic, that is, affine endomorphisms of affine manifolds. The main goal is to relate the dynamical viewpoint to the completeness problem. In particular, it is shown that the Markus conjecture is true when dim Aff(M, [dtri ]) > dim M − 2.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 469 - 486
Copyright
© The London Mathematical Society 2001

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