Positively curved manifolds with maximal symmetry rank
Differential Geometry
2012-08-07 v1
Abstract
The symmetry-rank of a riemannian manifold is by definition the rank of its isometry group. We determine precisely which smooth closed manifolds admit a positively curved metric with maximal symmetry-rank.
Keywords
Cite
@article{arxiv.1208.1206,
title = {Positively curved manifolds with maximal symmetry rank},
author = {Karsten Grove and Catherine Searle},
journal= {arXiv preprint arXiv:1208.1206},
year = {2012}
}