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arxiv: 1805.10450 · v1 · pith:3PBK46DPnew · submitted 2018-05-26 · 🌊 nlin.SI · math.DG

On a surface isolated by Gambier

classification 🌊 nlin.SI math.DG
keywords gambiersurfacescharacterizedconsideredfunctionguichardisolatedpainlev
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We provide a Lax pair for the surfaces of Voss and Guichard, and we show that such particular surfaces considered by Gambier are characterized by a third Painlev\'e function.

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