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Caracterización de los espacios homogéneos Kähler riemannianos de dimensión cuatro
- Autor/a
- Seoane Bascoy, Javier
Homogeneous spaces generate a family of manifolds of special importance both in Mathematics and Physics. In general, the fact that homogeneous spaces can be identified with the quotient of two Lie groups allows to study many of its geometrical properties from the Lie algebra of those two groups. Moreover, if a homogeneous space has dimension four and is equipped with a Riemannian metric then it is necessarily a Lie group or a locally symmetric space. In this memoir we will consider the classification of four dimensional Lie algebras admitting a Kähler structure, that is, an almost complex structure which is parallel respect to the Levi Civita connection, given by G. P. Ovando in order to get a characterization of four-dimensional homogeneous Riemannian Kähler spaces.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 16/07/2019
- Serie
- 139b Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
Homogeneous spaces generate a family of manifolds of special importance both in Mathematics and Physics. In general, the fact that homogeneous spaces can be identified with the quotient of two Lie groups allows to study many of its geometrical properties from the Lie algebra of those two groups. Moreover, if a homogeneous space has dimension four and is equipped with a Riemannian metric then it is necessarily a Lie group or a locally symmetric space. In this memoir we will consider the classification of four dimensional Lie algebras admitting a Kähler structure, that is, an almost complex structure which is parallel respect to the Levi Civita connection, given by G. P. Ovando in order to get a characterization of four-dimensional homogen