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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 189–207
(Mi jmag200)
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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
Citation:
S. I. Okrut, “The holomorphic conformal submersions Kählerian–Einstein manifolds”, Mat. Fiz. Anal. Geom., 11:2 (2004), 189–207
Linking options:
https://www.mathnet.ru/eng/jmag200 https://www.mathnet.ru/eng/jmag/v11/i2/p189
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Abstract page: | 118 | Full-text PDF : | 59 |
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