Smoothing 3-dimensional polyhedral spaces
Differential Geometry
2015-10-07 v4 Metric Geometry
Abstract
We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.
Cite
@article{arxiv.1411.0307,
title = {Smoothing 3-dimensional polyhedral spaces},
author = {Nina Lebedeva and Vladimir Matveev and Anton Petrunin and Vsevolod Shevchishin},
journal= {arXiv preprint arXiv:1411.0307},
year = {2015}
}
Comments
7 pages, 1 figure