English

The Ricci flow on Riemann surfaces

High Energy Physics - Theory 2010-02-10 v3

Abstract

We establish a 1-to-1 relation between metrics on compact Riemann surfaces without boundary, and mechanical systems having those surfaces as configuration spaces.

Cite

@article{arxiv.0810.2236,
  title  = {The Ricci flow on Riemann surfaces},
  author = {S. Abraham and P. Fernandez de Cordoba and J. M. Isidro and J. L. G. Santander},
  journal= {arXiv preprint arXiv:0810.2236},
  year   = {2010}
}

Comments

7 pages, refs. added, minor corrections

R2 v1 2026-06-21T11:30:09.192Z