Shadows and convexity of surfaces

Details Shadows and convexity of surfaces Shadows and convexity of surfaces

2004-09-20

arxiv.org/abs/math/0409366v1

Ann. of Math. (2), Vol. 155 (2002), no. 1, 281--293

Mathematics

Differential Geometry

13 pages, published version

Scientific paper

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.

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