English

Riemannian Hilbert manifolds

Differential Geometry 2016-10-06 v1

Abstract

In this article we collect results obtained by the authors jointly with other authors and we discuss old and new ideas. In particular we discuss singularities of the exponential map, completeness and homogeneity for Riemannian Hilbert quotient manifolds. We also extend a Theorem due to Nomizu and Ozeki to infinite dimensional Riemannian Hilbert manifolds.

Keywords

Cite

@article{arxiv.1610.01527,
  title  = {Riemannian Hilbert manifolds},
  author = {Leonardo Biliotti and Francesco Mercuri},
  journal= {arXiv preprint arXiv:1610.01527},
  year   = {2016}
}