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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 189–207 (Mi jmag200)  

The holomorphic conformal submersions Kählerian–Einstein manifolds

S. I. Okrut

V. N. Karazin Kharkiv National University, Faculty of Mathematics and Mechanics
Abstract: In article is given the description of manifolds of Kählerian–Einstein admitting holomorphic conformal submersion with totally geodesic fibers at some additional assumptions on characteristics submersion. It is shown that local obstructions of construction of such metrics are not present. However for complete metrics with compact one-dimensional fibers a diversity is reduced almost that to direct products.
Received: 07.12.2003
Bibliographic databases:
Document Type: Article
MSC: 53C25
Language: Russian
Citation: S. I. Okrut, “The holomorphic conformal submersions Kählerian–Einstein manifolds”, Mat. Fiz. Anal. Geom., 11:2 (2004), 189–207
Citation in format AMSBIB
\Bibitem{Okr04}
\by S.~I.~Okrut
\paper The holomorphic conformal submersions K\"ahlerian--Einstein manifolds
\jour Mat. Fiz. Anal. Geom.
\yr 2004
\vol 11
\issue 2
\pages 189--207
\mathnet{http://mi.mathnet.ru/jmag200}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2083981}
\zmath{https://zbmath.org/?q=an:1082.53043}
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