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arxiv: math/0102148 · v2 · pith:XGUQTB5Qnew · submitted 2001-02-19 · 🧮 math.DG · math.AP

Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains

classification 🧮 math.DG math.AP
keywords curvaturegausshypersurfacesprescribedclosecompactcomplementcone
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We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.

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