Conforlmal submersions of Kählerian manifolds. II
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 288-316
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The paper is a continuation of the first part of work and concerns the research of global properties of Kählerian manifolds which admit a holomorphic conformal submersion with a vertical exponent of the conformality of the submersion onto some other Kählerian manifold; the submersion fibers are assumed to be geodesic. The Kählerian manifolds may be considered as a kählerian analogue of the crossed product in the Kählerian manifolds with the above submersion are necessarily fiber spaces with isomorphic fibers. A method is proposed of constructing bundles including complete and compact fibers of a non-Riemannian projection wich is a submersion of the same type. It is shown that for such bundles with one-dimensional fibers to exist, it is necessary and sufficient that the base be a Hodge manigold. It is given the holomorphic classification of possible all of complete one-dimensional fibers of submersion of the stated above type.
@article{JMAG_1999_6_3_a7,
author = {S. I. Okrut},
title = {Conforlmal submersions of {K\"ahlerian} {manifolds.~II}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {288--316},
year = {1999},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a7/}
}
S. I. Okrut. Conforlmal submersions of Kählerian manifolds. II. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 288-316. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a7/