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arxiv: math/0303073 · v1 · submitted 2003-03-05 · 🧮 math.DG

The Cauchy problem for Lie-minimal surfaces

classification 🧮 math.DG
keywords surfaceslegendrelie-minimalcauchyexistenceframegeometrymethod
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In the present paper we study the Lie sphere geometry of Legendre surfaces by the method of moving frame and we prove an existence theorem for real-analytic Lie-minimal Legendre surfaces.

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