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A CHARACTERIZATION OF HARMONIC SECTIONS AND A LIOUVILLE THEOREM

Texto completo
Autor(es):
Stelmastchuk, Simao
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: ARCHIVUM MATHEMATICUM; v. 48, n. 2, p. 14-pg., 2012-01-01.
Resumo

Let P(M, G) be a principal fiber bundle and E(M, N, G, P) an associated fiber bundle. Our interest is to study the harmonic sections of the projection pi(E) of E into M. Our first purpose is give a characterization of harmonic sections of M into E regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of pi(E). (AU)

Processo FAPESP: 02/12154-8 - Geometria estocástica dos espaços homogêneos
Beneficiário:Simão Nicolau Stelmastchuk
Modalidade de apoio: Bolsas no Brasil - Doutorado Direto