A non regular Frölicher Lie group of diffeomorphisms

Details A non regular Frölicher Lie group of diffeomorphisms A non regular Frölicher Lie group of diffeomorphisms

2011-01-12

arxiv.org/abs/1101.2370v2

Mathematics

Differential Geometry

This paper is withdrawn by the author due to results that have to be improved or corrected

Scientific paper

We show that a group of diffeomorphisms $\D$ on the open unit interval $I,$
equipped with the topology of uniform convergence on any compact set of the
derivatives at any order, is non regular: the exponential map is not defined
for some path of the Lie algebra. The non integrable path that we exhibit
appears also as a trivial solution of the Burger's equation.

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