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5-th Conference on Geometry and Topology of Manifolds
April 27 - May 3, 2003

Krynica, Poland

Organizers
Institute of Mathematics of the Technical University of Lodz; Institute of Mathematics of the Jagiellonian University, Cracow; Faculty of Applied Mathematics of the University Mining and Matallurgy, Cracow

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Hypercomplex structures on tangent bundles
by
Sergey Bogdanovich
BSPU Belarus Minsk Sovietskaya, 18-573
Coauthors: Alexander Ermolitski

With help of any metric connection [(Ñ)\tilde] on an almost Hermitian manifold M we can construct by the defined way an almost Hermitian hypercomplex structure on the tangent bundle TM. This structure includes two basic anticommutative almost Hermitian structures for which introduced by the second author the fundamental tensor fields h1 and h2 are computed. It allows to consider various classes of almost Hermitian hypercomplex structures on TM.

Date received: April 26, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakm-20.