Autor:	Joël Rouyer
Rok vydání:	2010
Předmět:	Real projective line Blocking set Real projective plane Plane curve General Mathematics Mathematical analysis Line at infinity Projective space Projective plane Projective geometry Mathematics
Zdroj:	International Journal of Mathematics. 21:1605-1617
ISSN:	1793-6519 0129-167X
Popis:	It is proved in this article, that in the framework of Riemannian geometry, the existence of large sets of antipodes (i.e. farthest points) for diametral points of a smooth surface has very strong consequences on the topology and the metric of this surface. Roughly speaking, if the sets of antipodes of diametral points are closed curves, then the surface is nothing but the real projective plane.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::88143d725ea20b2e48dcdf466efb8c66 https://doi.org/10.1142/s0129167x10006653 Zobrazit plný text záznamu