Three-dimensional Alexandrov spaces with local isometric circle actions
Differential Geometry
2020-10-21 v2 Metric Geometry
Abstract
We obtain a topological and equivariant classification of closed, connected three-dimensional Alexandrov spaces admitting a local isometric circle action. We show, in particular, that such spaces are homeomorphic to connected sums of some closed 3-manifold with a local circle action and finitely many copies of the suspension of the real projective plane.
Cite
@article{arxiv.1702.06080,
title = {Three-dimensional Alexandrov spaces with local isometric circle actions},
author = {Fernando Galaz-Garcia and Jesús Núñez-Zimbrón},
journal= {arXiv preprint arXiv:1702.06080},
year = {2020}
}
Comments
23 pages, Final version to appear at the Kyoto Journal of Mathematics