Tietze-type theorem in 2-dimensional Riemannian manifolds without conjugate points

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Date

2011

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

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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