English

A remark on vanishing geodesic distances in infinite dimensions

Differential Geometry 2019-10-16 v1

Abstract

We observe that a vanishing geodesic distance arising from a weak Riemannian metric in a Hilbert manifold can be constructed.

Keywords

Cite

@article{arxiv.1910.06430,
  title  = {A remark on vanishing geodesic distances in infinite dimensions},
  author = {Valentino Magnani and Daniele Tiberio},
  journal= {arXiv preprint arXiv:1910.06430},
  year   = {2019}
}

Comments

4 pages