Manifolds with Boundary and of Bounded Geometry
نویسندگان
چکیده
منابع مشابه
Manifolds with boundary and of bounded geometry
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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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2001
ISSN: 0025-584X,1522-2616
DOI: 10.1002/1522-2616(200103)223:1<103::aid-mana103>3.0.co;2-s