Shadows and convexity of surfaces

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We study the geometry and topology of immersed surfaces in Euclidean 3-space whose Gauss map satisfies a certain two-piece-property, and solve the ``shadow problem" formulated by H. Wente.
13 pages, published version

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Differential Geometry, 53A05, 53A04 (Primary), 52A15, 53C42 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/72549

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409366
 http://arxiv.org/abs/math/0409366
 Ann. of Math. (2), Vol. 155 (2002), no. 1, 281--293

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arXiv