English

On smoothness of isometries between orbit spaces

Differential Geometry 2011-07-14 v1

Abstract

We discuss the connection between the smooth and metric structure on quotient spaces, prove smoothness of isometries in special cases and discuss an application to a conjecture of Molino.

Keywords

Cite

@article{arxiv.1107.2563,
  title  = {On smoothness of isometries between orbit spaces},
  author = {Marcos Alexandrino and Alexander Lytchak},
  journal= {arXiv preprint arXiv:1107.2563},
  year   = {2011}
}