English

A stereological version of the Gauss-Bonnet formula

Differential Geometry 2007-05-23 v1

Abstract

We give a stereological version of the Gauss-Bonnet formula in order to compute the Euler characteristic of a domain with boundary in a smooth orientable surface in R^3, by looking at contacts with a "sweeping" plane.

Keywords

Cite

@article{arxiv.math/9907191,
  title  = {A stereological version of the Gauss-Bonnet formula},
  author = {X. Gual-Arnau and J. J. Nuno-Ballesteros},
  journal= {arXiv preprint arXiv:math/9907191},
  year   = {2007}
}

Comments

6 pages; 2 figures; AMS-LaTeX

R2 v1 2026-07-22T18:04:00.356Z