Geodesic
An Evolutionary Structure of Convex Quadrilaterals
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 411-426
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We solve the problem of the evolution of convex quadrilaterals by applying the inverse weighted Fermat-Torricelli problem, the invariance property of the weighted Fermat-Torricelli point in the plane R2, two-dimensional sphere S2 and the two-dimensional hyperboloid H2. This means that the property of plasticity is inherited by some evolutionary convex quadrilaterals. An important application is the connection of the Fermat-Torricelli point with the fundamental equation of P. de Fermat.
Classification : 51E12, 52A10, 52A55, 51E10
Mots-clés : Fermat-Torricelli problem, inverse Fermat-Torricelli problem, generalized convex quadrilaterals 
@article{JCA_2008_15_2_JCA_2008_15_2_a15,
     author = {A. N. Zachos and G. Zouzoulas},
     title = {An {Evolutionary} {Structure} of {Convex} {Quadrilaterals}},
     journal = {Journal of convex analysis},
     pages = {411--426},
     year = {2008},
     volume = {15},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a15/}
}
TY  - JOUR
AU  - A. N. Zachos
AU  - G. Zouzoulas
TI  - An Evolutionary Structure of Convex Quadrilaterals
JO  - Journal of convex analysis
PY  - 2008
SP  - 411
EP  - 426
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a15/
ID  - JCA_2008_15_2_JCA_2008_15_2_a15
ER  - 
%0 Journal Article
%A A. N. Zachos
%A G. Zouzoulas
%T An Evolutionary Structure of Convex Quadrilaterals
%J Journal of convex analysis
%D 2008
%P 411-426
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a15/
%F JCA_2008_15_2_JCA_2008_15_2_a15
A. N. Zachos; G. Zouzoulas. An Evolutionary Structure of Convex Quadrilaterals. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 411-426. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a15/