Autor:	Francisco Fontenele, Frederico Xavier
Rok vydání:	2019
Předmět:	Pure mathematics General Mathematics Regular polygon Shape operator Milnor conjecture Ellipsoid Mathematics
Zdroj:	Revista Matemática Iberoamericana. 35:2035-2052
ISSN:	0213-2230
DOI:	10.4171/rmi/1109
Popis:	By the Poincare–Hopf theorem, every ovaloid has at least one umbilic. In this paper we extend this result to the more general case of complete positively curved surfaces in R3 whose shape operator A satisfies inf \|A\|>0 and sup \|∇A
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::751d1a69e1f33181aa857d71273915e4 https://doi.org/10.4171/rmi/1109 Zobrazit plný text záznamu