Abstract
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.
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Kornev, E.S. The Bundle of Paracomplex Structures. Sib Math J 61, 687–696 (2020). https://doi.org/10.1134/S0037446620040102
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DOI: https://doi.org/10.1134/S0037446620040102