English

Shadows and convexity of surfaces

Differential Geometry 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0409366,
  title  = {Shadows and convexity of surfaces},
  author = {Mohammad Ghomi},
  journal= {arXiv preprint arXiv:math/0409366},
  year   = {2007}
}

Comments

13 pages, published version