The Cosine Theorem On A Surface And The Notion Of Curvature

Lars Hörmander ()
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Lars Hörmander: Lund University

Chapter Chapter 17 in Unpublished Manuscripts, 2018, pp 118-132 from Springer

Abstract: Abstract Every student of differential geometry learns that the fundamental work of Gauss [2] on curved surfaces was influenced by his interest in geodesy. However, the nature of this influence is seldom spelled out. This is unfortunate, for the work of Gauss seems extremely natural if one knows a theorem of Legendre on spherical triangles which was familiar to contemporary geodesists.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69850-2_17

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DOI: 10.1007/978-3-319-69850-2_17

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