Closed geodesics on 2-dimension χ-geometric polyhedra

dc.contributor.author	Charitos, C	en
dc.contributor.author	Tsapogas, G	en
dc.date.accessioned	2014-06-06T06:43:36Z
dc.date.available	2014-06-06T06:43:36Z
dc.date.issued	1998	en
dc.identifier.issn	03621588	en
dc.identifier.uri	http://62.217.125.90/xmlui/handle/123456789/1386
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032425935&partnerID=40&md5=c31b363c7e9cf958fd55fc087c48104b	en
dc.title	Closed geodesics on 2-dimension χ-geometric polyhedra	en
heal.type	journalArticle	en
heal.publicationDate	1998	en
heal.abstract	For 2-dimensional finite χ-geometric polyhedra of curvature K ≤ χ < 0 it is shown that the polygonal flow, applied to a closed curve, converges to a geodesic. Moreover, it is shown that there exists a finite number of closed geodesics with length smaller than a given positive B. As an application of the polygonal flow, a way of constructing closed, in particular simple, curves is given as well as a condition which implies that a curve is non-homotopic to a point.	en
heal.journalName	Houston Journal of Mathematics	en
dc.identifier.issue	2	en
dc.identifier.volume	24	en
dc.identifier.spage	185	en
dc.identifier.epage	196	en