English

Metrics without isometries are generic

Differential Geometry 2014-03-04 v1

Abstract

We prove that for any compact manifold of dimension greater than 11, the set of pseudo-Riemannian metrics having a trivial isometry group contains an open and dense subset of the space of metrics.

Keywords

Cite

@article{arxiv.1403.0182,
  title  = {Metrics without isometries are generic},
  author = {Pierre Mounoud},
  journal= {arXiv preprint arXiv:1403.0182},
  year   = {2014}
}

Comments

Monatshefte f\"ur Mathematik (2014) pp

R2 v1 2026-06-22T03:18:31.269Z