Curvature flows of maximal integral triangulations

Roland Bacher

Annales de l'institut Fourier (1999)

  • Volume: 49, Issue: 4, page 1115-1128
  • ISSN: 0373-0956

Abstract

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This paper describes local configurations of some planar triangulations. A Gauss-Bonnet-like formula holds locally for a kind of discrete “curvature” associated to such triangulations.

How to cite

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Bacher, Roland. "Curvature flows of maximal integral triangulations." Annales de l'institut Fourier 49.4 (1999): 1115-1128. <http://eudml.org/doc/75374>.

@article{Bacher1999,
abstract = {This paper describes local configurations of some planar triangulations. A Gauss-Bonnet-like formula holds locally for a kind of discrete “curvature” associated to such triangulations.},
author = {Bacher, Roland},
journal = {Annales de l'institut Fourier},
keywords = {curvature flow; Farey sequence; Farey tree; maximal integral triangulation},
language = {eng},
number = {4},
pages = {1115-1128},
publisher = {Association des Annales de l'Institut Fourier},
title = {Curvature flows of maximal integral triangulations},
url = {http://eudml.org/doc/75374},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Bacher, Roland
TI - Curvature flows of maximal integral triangulations
JO - Annales de l'institut Fourier
PY - 1999
PB - Association des Annales de l'Institut Fourier
VL - 49
IS - 4
SP - 1115
EP - 1128
AB - This paper describes local configurations of some planar triangulations. A Gauss-Bonnet-like formula holds locally for a kind of discrete “curvature” associated to such triangulations.
LA - eng
KW - curvature flow; Farey sequence; Farey tree; maximal integral triangulation
UR - http://eudml.org/doc/75374
ER -

References

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  1. [A] M. AIGNER, Combinatorial Theory, Springer, 1979. Zbl0415.05001MR80h:05002
  2. [C] H.S.M. COXETER, An introduction to geometry, Wiley, 1989. 
  3. [DC] M. DO CARMO, Differential Geometry of Curves and Surfaces, Prentice Hall, 1976. Zbl0326.53001MR52 #15253

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