Manifolds with boundary and of bounded geometry

Details Manifolds with boundary and of bounded geometry Manifolds with boundary and of bounded geometry

2000-01-19

arxiv.org/abs/math/0001108v1

Math. Nachr. 223 (2001), 103--120.

Mathematics

Differential Geometry

18 pages, to appear in Mathematische Nachrichten

Scientific paper

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.

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