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Estructura local de superficies para-Kähler con tensor de Bochner nulo
- Autor/a
- Ferreiro Subrido, María
The objective of this work is to give a local description of Bochner-flat para-Kähler surfaces. Taking into account the fact that the underlying structure of para-Kähler manifolds is that of a Walker manifold, we show that a Bochner-flat para-Kähler surface is locally isometric to the cotangent bundle of an affine surface equipped with a modified Riemannian extension given by a vector field X, a (1,1)−tensor field T and a symmetric (0,2)−tensor field Φ on the affine surface.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 2020
- Serie
- 143b Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
The objective of this work is to give a local description of Bochner-flat para-Kähler surfaces. Taking into account the fact that the underlying structure of para-Kähler manifolds is that of a Walker manifold, we show that a Bochner-flat para-Kähler surface is locally isometric to the cotangent bundle of an affine surface equipped with a modified Riemannian extension given by a vector field X, a (1,1)−tensor field T and a symmetric (0,2)−tensor field Φ on the affine surface.