English

A Lie group structure on the group of real analytic diffeomorphisms of a compact real analytic manifold with corners

Group Theory 2015-12-14 v2 Differential Geometry

Abstract

We construct a smooth Lie group structure on the group of real analytic diffeomorphisms of a compact analytic manifold with corners. This generalises the known analogous results in the situation where the real analytic manifold has no corners. Additionally our approach uses a different construction.

Keywords

Cite

@article{arxiv.1512.01506,
  title  = {A Lie group structure on the group of real analytic diffeomorphisms of a compact real analytic manifold with corners},
  author = {Jan Milan Eyni},
  journal= {arXiv preprint arXiv:1512.01506},
  year   = {2015}
}