Locally conformal Kähler submersions |
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Authors: | J C Marrero J Rocha |
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Institution: | (1) Depto. Matemática Fundamental, Facultad de Matemáticas, Universidad de La Laguna, Tenerife, Canary Island, Spain;(2) Depto. Matemáticas, Universidad de Las Palmas de Gran Canaria, Canary Island, Spain |
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Abstract: | 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.Supported by the Consejería de Educación del Gobierno de Canarias |
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Keywords: | 53C55 |
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