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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 4 / 2015 | |||||||
Article: |
LINES IN THE THREE-DIMENSIONAL BOLYAI-LOBACHEVSKIAN HYPERBOLIC GEOMETRY. Authors: . |
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Abstract:
The purpose of this paper is to describe the geodesics of the threedimensional Bolyai-Lobachevskian hyperbolic space. We also determine the equation of the orthogonal surfaces and the scalar curvature of the surfaces of revolution. The metric applied is the Lobachevskian metric extended into three dimensions. During the analysis we use Cartesian and cylindrical coordinates. This article is a continuation of the paper [4]. Mathematics Subject Classification (2010): 53A35. Keywords: Hyperbolic geometry, geodesics, orthogonal surfaces, cylindrical coordinates.
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