Constant Scalar Curvature
Mostrando 1-7 de 7 artigos, teses e dissertações.
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1. Rigidez de superfÃcies de contato e caracterizaÃÃo de variedades riemannianas munidas de um campo conforme ou de alguma mÃtrica especial / Rigidity of the contact surfaces and characterization of Riemannian manifolds carrying a conformal vector fields or some special metric
Esta tese està composta de quatro partes distintas. Na primeira parte, vamos dar uma nova caracterizaÃÃo da esfera euclidiana como a Ãnica variedade Riemanniana compacta com curvatura escalar constante e admitindo um campo de vetores conforme nÃo trivial que à tambÃm Ricci conforme. Na segunda parte, provaremos algumas propriedades dos quase sÃlitons
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 29/06/2012
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2. Hipersuperfícies com curvatura média constante e hipersuperfícies com curvatura escalar constante na esfera. / Hypersurfaces with constant mean curvature and hypersurfaces with constant scalar in curvature sphere.
In this work we prove two theorems that characterize the hypersurfaces in the unitary sphere of dimension n+1. The first result, obtained by H. Alencar and M. do Carmo, classifies hypersurfaces with constant mean curvature in the sphere. This result was published in April 1994 in Proceedings of The American Mathematical Society, volume 120, number 4 with the
Publicado em: 2009
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3. On complete spacelike hypersurfaces with constant scalar curvature in the de Sitter space
Let Mn be a complete spacelike hypersurface with constant normalized scalar curvature R in the de Sitter Space S1n + 1. Let H the mean curvature and suppose that = (R - 1) > 0 and Anais da Academia Brasileira de Ciências. Publicado em: 2000-12
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4. Rotational hypersurfaces with constant scalar curvature in the space forms / HipersuperfÃcies rotacionais com curvatura escalar constante em espaÃos de curvatura constante.
Neste trabalho apresentamos uma classificaÃÃo das hipersuperficies rotacionais com curvatura escalar constante nas formas espaciais devida a M. Leite
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 11/05/1995
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5. ON RIEMANNIAN MANIFOLDS WITH CONSTANT SCALAR CURVATURE ADMITTING A CONFORMAL TRANSFORMATION GROUP*
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6. RIEMANNIAN MANIFOLDS ADMITTING A CONFORMAL TRANSFORMATION GROUP
Let M be a Riemannian manifold with constant scalar curvature K which admits an infinitesimal conformal transformation. A necessary and sufficient condition in order that it be isometric with a sphere is obtained.
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7. Einstein's equations with an embedding-dependent energy-momentum tensor for the compactified Minkowski time space and their relationship to the conformal action of SO(4,4) on S3 x S3.
For a pseudoriemannian 4-manifold isometrically embedded in a pseudoriemannian 6-manifold an embedding-dependent energy-momentum tensor is proposed, as well as an embedding-dependent cosmological constant. Their behavior is examined under the conformal transformations. It is specialized to the case of S1 x S3 embedded in S3 x S3, where the latter has the met