cones in the euclidean space with vanishing scalar curvature
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ID: 211527
2004
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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.
Dada uma hipersuperfície M de uma esfera unitária do espaço euclidiano, definimos o cone sobre M como o conjunto das semi-retas que saem da origem e passam por M. Admitindo que a curvatura escalar de um dado cone é nula, estabelecemos condições para que os seus domínios limitados sejam estáveis ou instáveis.
Dada uma hipersuperfície M de uma esfera unitária do espaço euclidiano, definimos o cone sobre M como o conjunto das semi-retas que saem da origem e passam por M. Admitindo que a curvatura escalar de um dado cone é nula, estabelecemos condições para que os seus domínios limitados sejam estáveis ou instáveis.
| Reference Key |
barbosa2004anaiscones
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|---|---|
| Authors | ;João Lucas M. Barbosa;Manfredo do Carmo |
| Journal | hypertension (dallas, tex : 1979) |
| Year | 2004 |
| DOI |
10.1590/S0001-37652004000400001
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| URL | |
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