Height estimates and half-space theorems for hypersurfaces in product spaces of the type ℝ × M n.

Autor: Lima EL; Universidade Federal de Campina Grande/UFCG, Unidade Acadêmica de Ciências Exatas e da Natureza, Rua Sérgio Moreira de Figueiredo, s/n, Casas Populares, 58900-000 Cajazeiras, PB, Brazil., Lima HF; Universidade Federal de Campina Grande/UFCG, Departamento de Matemática, Rua Aprígio Veloso, 882, Universitário, 58429-970, Campina Grande, PB, Brazil.
Jazyk: angličtina
Zdroj: Anais da Academia Brasileira de Ciencias [An Acad Bras Cienc] 2021 Dec 03; Vol. 93 (suppl 3), pp. e20190329. Date of Electronic Publication: 2021 Dec 03 (Print Publication: 2021).
DOI: 10.1590/0001-3765202120190329
Abstrakt: We obtain height estimates and half-space theorems concerning a wide class of hypersurfaces immersed into a product space ℝ × M n , the so-called generalized linear Weingarten hypersurfaces, which extends that one having some constant higher order mean curvature.
Databáze: MEDLINE