Thomas Schick: Manifolds with Boundary and of Bounded Geometry
For (non-compact) manifolds with boundary we prove that
bounded geometry defined by global curvature bounds is equivalent to
bounded geometry defined using bounds on geodesic charts.
We produce a nice atlas with subordinate partition of unity on
boundary-manifolds of bounded geometry, and we study the change of
(geodesic) coordinate maps.
Thomas
Schick