Aire, p\'erim\`etre et polygones cocycliques

Autor:	Leger, Jean-Christophe
Jazyk:	francouzština
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	This paper provides (in french) a framework for an alternative demonstration of result of Khimshiashvili and Panina on the characterization of critical points of the area on the manifold of polygons with fixed sidelengths as being the cocyclical polygons. Other problems of the same class, with less constraints, are also alluded to and a numerical scheme for computing the associated gradient descent is described. Comment: in French
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.05423 Zobrazit plný text záznamu View this record from Arxiv