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A New method to the study of the behavior of the geodesics on hyperbolic manifolds. Applications

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cris.sourceIdoai:irek.ase.md:1234567890/651
dc.creatorBalcan, Vladimir
dc.date2020-10-08T05:33:50Z
dc.date2020-10-08T05:33:50Z
dc.date2018-09
dc.date.accessioned2023-11-13T10:01:35Z
dc.date.available2023-11-13T10:01:35Z
dc.descriptionBALCAN, Vladimir. A New method to the study of the behavior of the geodesics on hyperbolic manifolds. Applications. In: Competitivitatea şi inovarea în economia cunoaşterii [online]: culegere de articole selective: conf. şt. intern., 28-29 sept., 2018. Chişinău: ASEM, 2018, vol. 1, pp. 206-211. E-ISBN 978-9975-75-932-8.
dc.descriptionThe presented work is a research in the field of the geometry of two-dimensional hyperbolic (equipped with a metric of constant negative curvature) manifolds. In this survey article we gather resent results of the global behavior of geodesics on hyperbolic manifolds, giving special attention to the two-dimensional case. This paper discribe new method (is developed a new method of colour multilaterals) for solving this problem - an algorithm (the construction of a practical approach) that allows determine the behavior of this geodesic on hyperbolic manifolds. With the help of this technique, the question of the qualitative behavior of geodesics in general on hyperbolic 2-manifolds is solved. Applications and future direction are discussed. JEL: MSC 53C60,30 F60,53 C22
dc.formatapplication/pdf
dc.identifier978-9975-75-932-8
dc.identifier${dspace.ui.url}/handle/1234567890/651
dc.identifierhttp://irek.ase.md:80/xmlui/handle/1234567890/651
dc.identifier.urihttps://cris.ase.md/handle/123456789/1128
dc.languageen
dc.publisherASEM
dc.subjectbehavior of geodesics
dc.subjectthe multilateral
dc.subjectthe method of colour multilaterals
dc.subjecthyperbolic right angled hexagon
dc.subjecthyperbolic right angled octagon
dc.subjectpair pants (meaning surfaces of signature (0,3)).hyperbolic surface with genus g
dc.subjectkpuncture and n geodesic boundaries
dc.titleA New method to the study of the behavior of the geodesics on hyperbolic manifolds. Applications
dc.typeArticle
dspace.entity.typePublication
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Facultatea Tehnologii Informaționale și Statistică Economică