title: Cones in the Euclidean space with vanishing scalar curvature.
abstract: Given a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M. By assuming that the scalar curvature of the cone vanishes, we obtain conditions under which bounded domains of such cone are stable or unstable.
authors.affiliation: Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici, 60455-760 Fortaleza, Ce, Brazil. jlucas@secrel.com.br
authors.forename: João Lucas M
authors.initials: JL
authors.lastname: Barbosa
authors.forename: Manfredo
authors.initials: M
authors.lastname: do Carmo