CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A class of homogeneous Sasakian 5-manifolds
Autor/es:
ADRIÁN ANDRADA, ANNA FINO, LUIGI VEZZONI
Lugar:
La Falda, Córdoba, Argentina
Reunión:
Congreso; II Congreso Latinoamericano de Grupos de Lie en Geometría; 2008
Institución organizadora:
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba
Resumen:
We obtain some general results on Sasakian Lie algebras and prove as a
consequence that a (2n + 1) dimensional Sasakian nilmanifold is a
compact quotient of the real Heisenberg group H_{2n +1}.
Furthermore, we classify Sasakian Lie algebras of dimension 5 and
determine which of them carry a Sasakian alpha-Einstein structure.
We show that a 5-dimensional solvmanifold with a left-invariant
Sasakian structure is a compact quotient of either H_5 or a
semidirect product R\ltimes (H_3 x R). In
particular, it is an S^1-bundle over a 4-dimensional K\"ahler
solvmanifold.
