Manifolds with boundary and of bounded geometry
Differential Geometry
2018-11-28 v1 Geometric Topology
Abstract
For non-compact manifolds with boundary we prove that bounded geometry defined by coordinate-free curvature bounds is equivalent to bounded geometry defined using bounds on the metric tensor in geodesic coordinates. We produce a nice atlas with subordinate partition of unity on manifolds with boundary of bounded geometry, and we study the change of geodesic coordinate maps.
Keywords
Cite
@article{arxiv.math/0001108,
title = {Manifolds with boundary and of bounded geometry},
author = {Thomas Schick},
journal= {arXiv preprint arXiv:math/0001108},
year = {2018}
}
Comments
18 pages, to appear in Mathematische Nachrichten