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http://hdl.handle.net/10553/46571
Título: | Locally conformal Kähler submersions | Autores/as: | Marrero, J. C. Rocha, J. |
Clasificación UNESCO: | 12 Matemáticas | Palabras clave: | Almost Hermitian submersions Betti numbers Generalized Holf manifolds Kähler manifolds Locally conformal Kähler manifolds, et al. |
Fecha de publicación: | 1994 | Publicación seriada: | Geometriae Dedicata | Resumen: | In this paper we study almost Hermitian submersions with total space a locally conformal Kähler (l.c.K.) manifold, i.e., l.c.K. submersions. We derive necessary and sufficient conditions for the fibers of a l.c.K. submersion to be minimal and for the horizontal distribution to be completely integrable. We give, under certain conditions, some relations between the Betti numbers of the total space and the base space of a l.c.K. submersion and we obtain all the l.c.K. submersions with totally geodesic fibers and total space a particular class of generalized Hopf manifolds. | URI: | http://hdl.handle.net/10553/46571 | ISSN: | 0046-5755 | DOI: | 10.1007/BF01278477 | Fuente: | Geometriae Dedicata [ISSN 0046-5755], v. 52 (3), p. 271-289 |
Colección: | Artículos |
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