Aspectos da geometria complexa das variedades bandeira

AUTOR(ES)

Marlio Paredes Gutierrez

DATA DE PUBLICAÇÃO

2000

RESUMO

New families of (1,2)-symplectic invariant metrics on F(n), different to the Kililer and parabolic, are presented. Exactly, we characterize n - 3 different n-dimensional families of (1,2)-symplectic invariant metrics, for each n - 5. Each of them corresponds to a different c1ass of invariant almost-complex structure on F (n). The F(5), F(6) and F(7) cases are completely studied. We obtain the following families of (1,2)-symplectic invariant metrics, different to the Kãhler and parabolic: On F(5), two 5-parametric families; on F(6), four 6-parametric families, two of them generalizing the two families of F(5) case and, on F(7) we obtain eight 7-parametric families, four of them generalizing the four ones of the F(6) case. These metrics are used to produce new examples of harmonic maps φ : M2 - F(n), applying a known Theorem due to Lichnerowicz. Finally, using Negreiros results, the stability of this harmonic maps are studied.

ASSUNTO(S)

geometria diferencial variedade complexas torneios

Documentos Relacionados

• Alguns aspectos da geometria riemanniana das variedades de Hilbert
• Um estudo da geometria hiperbólica complexa
• Fundamentos da geometria complexa: aspectos geométricos, topológicos e analiticos.
• Variedades riemannianas abertas : rigidez das fronteiras ideais e geometria das variedades com curvatura minimal radial assintoticamente não negativa
• Aplicações harmonicas e estabilidade em variedades bandeira