Betti Number
Mostrando 1-4 de 4 artigos, teses e dissertações.
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1. RepresentaÃÃo de superfÃcies em grupos de Lie tridimensionais / Representation of surfaces in three-dimensional Lie groups
Consideramos o problema de representaÃÃo de superfÃcies imersas em grupos de Lie tridimensionais.Especificamente, nos espaÃos HiperbÃlico, de Sitter, Heisenberg (Riemanniano e pseudo-Riemanniano), nas esferas de Berger e em espaÃos Anti de Sitter exÃticos. Estabelecemos como condiÃÃes de integrabilidade para a existÃncia de uma imersÃo conforme de
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 27/06/2008
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2. On the homotopy type of the clique graph
If G is a graph, its clique graph K(G) is the intersection graph of all its (maximal) cliques. The complex G of a graph G is the simplicial complex whose simplexes are the vertex sets of the complete subgraphs of G. Here we study a sufficient condition for G and K(G) to be homotopic.
Journal of the Brazilian Computer Society. Publicado em: 2001
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3. A generalization of the Kostant—Macdonald identity
Let X be a smooth projective variety admitting an algebraic vector field V with exactly one zero and a holomorphic C*-action λ so that the condition dλ(t)·V = tpV holds for all t ∈ C*. The purpose of this note is to report on a product formula for the Poincaré polynomial of X which specializes to the classical identity [Formula: see text] when X is the
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4. The curvature of a Hilbert module over ℂ[z1, … , zd]
A notion of curvature is introduced in multivariable operator theory. The curvature invariant of a Hilbert module over ℂ[z1, … , zd] is a nonnegative real number which has significant extremal properties, which tends to be an integer, and which is hard to compute directly. It is shown that for graded Hilbert modules, the curvature agrees with the E
The National Academy of Sciences.