Visual Differential Geometry and Beltrami’s Hyperbolic Plane

Tristan Needham ()
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Tristan Needham: University of San Francisco, Department of Mathematics

Chapter Chapter 4 in The Art of Science, 2014, pp 71-99 from Springer

Abstract: Abstract Historical wrongs are hard to right. In 1868 Eugenio Beltrami (Fig. 4.1) set the previously abstract hyperbolic geometry of Lobachevsky and Bolyai upon a firm and intuitive foundation by interpreting it as the intrinsic geometry of a negatively curved surface.

Keywords: Principal Curvature; Parallel Transport; Hyperbolic Plane; Hyperbolic Geometry; Geodesic Segment (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02111-9_4

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DOI: 10.1007/978-3-319-02111-9_4

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