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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"c1étrica biinvariante"" "subject:"c1étrica biinvarianten""

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As esferas que admitem uma estrutura de grupo de Lie / Spheres that admit a Lie group structure

Lima, Kennerson Nascimento de Sousa 02 March 2010 (has links)
We will show that the only connected Euclidean spheres admitting a structure of Lie group are S1 and S3, for all n greater than or equal to 1. We will do this through the study of properties of the De Rham cohomology groups of sphere Sn and of compact connected Lie groups. / Fundação de Amparo a Pesquisa do Estado de Alagoas / Mostraremos que as únicas esferas euclidianas conexas que admitem uma estrutura de grupo de Lie são S1 e S3, para todo n maior ou igual a 1. Faremos isso por intermédio do estudo de propriedades dos grupos de cohomologia de De Rham das esfereas Sn e dos grupos de Lie compactos e conexos.
Esfera
Álgebra de Lie
Grupos de Lie
Grupos de cohomologia de De Rham
Métrica bi-invariante
Sphere
Lie algebra
Lie groups
De Rham cohomology group
Bi-invariant metric

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