Nonpositively curved homogeneous spaces of dimension five / María Josefina Druetta.
Idioma: Inglés Series Trabajos de Matemática. Serie A / Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía y Física ; no.08Detalles de publicación: Córdoba, Argentina : Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía y Física, 1991.Descripción: 29 p. ; 30 cmTema(s): Resumen: We classify, in terms of the rank, the simply connected homogeneous spaces of nonpositive curvature and dimension five. In particular, an affirmative answer is given to the conjecture "An irreducible homogeneous spaces of nonpositive curvature and rank k ≥ 2 is a symmetric space of rank k". We exhibit examples in dimension five of rank one homogeneous spaces of nonpositive curvature having totally geodesic two-flats isometrically imbedded. Moreover, these examples show that the rank in a Lie group is not invariant under the change of left invariant metrics of nonpositive curvature.Tipo de ítem | Biblioteca actual | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems |
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Series FaMAF | FaMAF Sección Series Famaf | Trabajo Matemática Serie A CAJA 1 - F0016 | 1 | Disponible | F0016 |
Bibliografía: p. 28-29.
We classify, in terms of the rank, the simply connected homogeneous spaces of nonpositive curvature and dimension five. In particular, an affirmative answer is given to the conjecture "An irreducible homogeneous spaces of nonpositive curvature and rank k ≥ 2 is a symmetric space of rank k".
We exhibit examples in dimension five of rank one homogeneous spaces of nonpositive curvature having totally geodesic two-flats isometrically imbedded. Moreover, these examples show that the rank in a Lie group is not invariant under the change of left invariant metrics of nonpositive curvature.
Texto en inglés.