The Bundle of Paracomplex Structures

Under consideration are the bundle of paracomplex structures and the related problems of the existence of a paracomplex structure on a manifold. We obtain some explicit descriptions for the bundle of paracomplex structures for spheres of dimensions 2, 4, and 6. The existence is proved of a nonitegra...

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Bibliographic Details
Published in:Siberian mathematical journal 2020-07, Vol.61 (4), p.687-696
Main Author: Kornev, E. S.
Format: Article
Language:English
Subjects:
Bundling
Mathematics
Mathematics and Statistics
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Summary:Under consideration are the bundle of paracomplex structures and the related problems of the existence of a paracomplex structure on a manifold. We obtain some explicit descriptions for the bundle of paracomplex structures for spheres of dimensions 2, 4, and 6. The existence is proved of a nonitegrable almost paracomplex structure on the six-dimensional sphere.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446620040102