Artículo
Bochner and conformal flatness on normal complex contact metric manifolds
Autor/es | David E. Blair
Martín Molina, Verónica |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2010-10-10 |
Fecha de depósito | 2020-07-08 |
Publicado en |
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Resumen | We will prove that normal complex contact metric manifolds that are Bochner flat must have constant holomorphic sectional curvature 4 and be Kähler. If they are also complete and simply connected, they must be isometric ... We will prove that normal complex contact metric manifolds that are Bochner flat must have constant holomorphic sectional curvature 4 and be Kähler. If they are also complete and simply connected, they must be isometric to the odd-dimensional complex projective space CP 2n+1(4) with the Fubini-Study metric. On the other hand, it is not possible for normal complex contact metric manifolds to be conformally flat. |
Agencias financiadoras | Junta de Andalucía Ministerio de Educación. España |
Identificador del proyecto | FQM-327 |
Cita | David E. Blair, y Verónica Martín-Molina, (2010). Bochner and conformal flatness on normal complex contact metric manifolds. Annals of Global Analysis and Geometry, 39 (3), 249-258. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Blair.and.Martin-Molina.pdf | 259.7Kb | [PDF] | Ver/ | Versión aceptada del Artículo |