Geodesic
Curve Flows on Ruled Surfaces
Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 129-14 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We study special flows of curves on ruled surfaces. Closed curves on closed ruled surfaces are driven by the Gaussian curvature flow and the geodesic curvature flow. For that we use a discretization of the ruled surfaces, the curves on them, and the curvatures. In an experimental part, the problem will be attacked numerically and various types of approximations will be used.
Classification : 53A04, 53A05, 37E35
Mots-clés : Curve flow, curvature, geodesic flow, ruled surface, striction curve, geodesic curvature, Gaussian curvature 
@article{JGG_2013_17_2_JGG_2013_17_2_a0,
     author = {M. Hagemann and D. Klawitter and B. Odehnal },
     title = {Curve {Flows} on {Ruled} {Surfaces}},
     journal = {Journal for geometry and graphics},
     pages = {129--14},
     year = {2013},
     volume = {17},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a0/}
}
TY  - JOUR
AU  - M. Hagemann
AU  - D. Klawitter
AU  - B. Odehnal 
TI  - Curve Flows on Ruled Surfaces
JO  - Journal for geometry and graphics
PY  - 2013
SP  - 129
EP  - 14
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a0/
ID  - JGG_2013_17_2_JGG_2013_17_2_a0
ER  - 
%0 Journal Article
%A M. Hagemann
%A D. Klawitter
%A B. Odehnal 
%T Curve Flows on Ruled Surfaces
%J Journal for geometry and graphics
%D 2013
%P 129-14
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a0/
%F JGG_2013_17_2_JGG_2013_17_2_a0
M. Hagemann; D. Klawitter; B. Odehnal . Curve Flows on Ruled Surfaces. Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 129-14. http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a0/