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Manifolds with boundary and of bounded geometry

Thomas Schick
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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.

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Thomas Schick. 2000-01-19. Manifolds with boundary and of bounded geometry. https://doi.org/10.1002/1522-2616(200103)223%3A1%253c103%3A%3Aaid-mana103%253e3.0.co%3B2-s

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