Closed three-dimensional Alexandrov spaces with isometric circle actions
Differential Geometry
2018-09-20 v2 Metric Geometry
Abstract
We obtain a topological and weakly equivariant classification of closed three-dimensional Alexandrov spaces with an effective isometric circle action. As an application of the classification we prove a version of the Borel conjecture for closed three-dimensional Alexandrov spaces with circle symmetry.
Keywords
Cite
@article{arxiv.1312.0540,
title = {Closed three-dimensional Alexandrov spaces with isometric circle actions},
author = {Jesús Núñez-Zimbrón},
journal= {arXiv preprint arXiv:1312.0540},
year = {2018}
}
Comments
Final version to appear in Tohoku Math. J