Cones in the Euclidean space with vanishing scalar curvature

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 o...

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Bibliographic Details
Main Authors: João Lucas M. Barbosa, Manfredo do Carmo
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2004-12-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400001