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Article Dans Une Revue Oberwolfach Report Année : 2016

Henri Poincaré and his "model" of hyperbolic geometry

Résumé

The aim of the talk is to trace how and when Henri Poincaré used non-Euclidean geometries (NEG) in his mathematical and philosophical works, with a particular attention to the genesis and the description of his model. We begin by a short presentation of the context of NEG in France around the 1870-80s. Then we expound from several sources the introduction and use of NEG in Poincaré's work about Fuchsian functions and we stress on the analogy between elliptic functions and fuchsian functions.
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Dates et versions

hal-01264428 , version 1 (02-02-2016)

Licence

Paternité - Pas d'utilisation commerciale

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Citer

Philippe Nabonnand. Henri Poincaré and his "model" of hyperbolic geometry. Oberwolfach Report, 2016, Models and Visualization in the Mathematical and Physical Sciences, 1544a, pp.52-55. ⟨10.48550/arXiv.1602.01302⟩. ⟨hal-01264428⟩
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