Compactness of Alexandrov-Nirenberg Surfaces
نویسندگان
چکیده
منابع مشابه
Properties of Distance Functions on Convex Surfaces and Alexandrov Spaces
If X is a convex surface in a Euclidean space, then the squared (intrinsic) distance function dist(x, y) is d.c. (DC, delta-convex) on X×X in the only natural extrinsic sense. For the proof we use semiconcavity (in an intrinsic sense) of dist(x, y) on X × X if X is an Alexandrov space with nonnegative curvature. Applications concerning r-boundaries (distance spheres) and the ambiguous locus (ex...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2017
ISSN: 0010-3640
DOI: 10.1002/cpa.21686