English

The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups

Differential Geometry 2016-05-18 v2 K-Theory and Homology

Abstract

We prove the Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, thereby giving necessary and sufficient conditions for a closed spin manifold of dimension greater than four with fundamental group cocompact Fuchsian to admit a metric of positive scalar curvature.

Keywords

Cite

@article{arxiv.math/0201091,
  title  = {The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups},
  author = {James F. Davis and Kimberly Pearson},
  journal= {arXiv preprint arXiv:math/0201091},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-07-22T16:42:38.293Z