Sharp Estimates for the Size of Balls in the Complement of a Hypersurface

Autor:	Sérgio L. Silva, Francisco Fontenele
Rok vydání:	2005
Předmět:	Pure mathematics Lemma (mathematics) Hypersurface Differential geometry Mathematics::Complex Variables Second fundamental form Mathematical analysis Space form Geometry and Topology Algebraic geometry Algebraic number Mathematics Complement (set theory)
Zdroj:	Geometriae Dedicata. 115:163-179
ISSN:	1572-9168 0046-5755
DOI:	10.1007/s10711-005-6909-y
Popis:	In this paper, we make estimates for the radius of balls contained in some component of the complementary of a complete hypersurface into a space form, generalizing and improving analogous radius estimates for embedded compact hypersurfaces obtained by Blaschke, Koutroufiotis and the authors. The results are obtained using an algebraic lemma and a tangency principle related with the length of the second fundamental form. The algebraic lemma also is used to improve a result for graphs due to Hasanis–Vlachos.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a5d42e418f1aed139f90bc8ec279ad48 https://doi.org/10.1007/s10711-005-6909-y Zobrazit plný text záznamu Full text from SpringerLink