ISSN:
1572-9168
Keywords:
53C55
;
Kähler manifolds
;
locally conformal Kähler manifolds
;
generalized Holf manifolds
;
submersions
;
almost Hermitian submersions
;
Betti numbers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01278477
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