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Cohomology-free Diffeomorphisms on Tori by Santos, Nathan M. Dos is a scholarly article available to read on EtoBox.

What is Cohomology-free Diffeomorphisms on Tori about?

A smooth diffeomorphism f of a smooth closed orientable manifold M is cohomology-free diffeomorphism (c.f) if for each smooth function g on M there exists a smooth function h on M and a constant c such that h-h o f = g. In this article we show that (c.f) diffeomorphisms on tori are conjugate to Diophantine translations. This is part of a conjecture of A. Katok [H, Problem 17].

Author

Santos, Nathan M. Dos

Published

2014

Language

EN