Surfaces expanding by the inverse Gauss curvature flow

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We show that strictly convex surfaces expanding by the inverse Gauss curvature flow converge to infinity in finite time. After appropriate rescaling, they converge to spheres. We describe the algorithm to find our main test function.
25 pages; minor corrections

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Differential Geometry, Analysis of PDEs, 53C44; 65K05; 35B40

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http://salesiana.dossiersoluciones.com/handle/123456789/100982

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412297
 http://arxiv.org/abs/math/0412297

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arXiv