Tietze-type theorem in 2-dimensional Riemannian manifolds without conjugate points
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
BALKAN SOC GEOMETERS
Series Info
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS;Volume: 16 Issue: 2 Pages: 133-137
Doi
Scientific Journal Rankings
Abstract
Let A be an open connected subset of a C(infinity) complete simply connected 2-dimensional Riemannian manifold without conjugate points W(2). The main result of this short article states that: a point x of A has a local maximal visibility if and only if x is a point of the convex kernel of A. Thus we obtain a Tietze-type theorem in W(2).
Description
Accession Number: WOS:000289683600014
Keywords
maximal visibility, starshaped set, Tietze-type theorem, conjugate points, kernel
Citation
Cited References in Web of Science Core Collection: 18