The geometric properties of the complete noncompact surface with nonnegative curvature
type: Item
instance of: scholarly article
zbMATH Open document ID: 1006.53032
publication date: 2003-03-05T00:00:00Z
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 1643535
zbMATH Keywords: noncompact surface
zbMATH Keywords: nonnegative curvature
zbMATH Keywords: geodesic
zbMATH Keywords: cut locus
author: Huashui Zhan
MaRDI profile type: Publication
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title: The geometric properties of the complete noncompact surface with nonnegative curvature
published in: Journal of Mathematical Research \& Exposition
review text: In this paper, the author proves that every geodesic \(r: [0, +\infty)\to M,\) where \(M\) is a simply connected surface with nonnegative curvature, goes to infinity. But this may be false if \(\dim (M) \geq 3\). Using this condition, the author also proves that for such a surface, its cut locus is nothing but its first conjugate locus.
reviewed by: Huaiyu Jian
description: scientific article; zbMATH DE number 1643535