Connections functorially attached to almost complex product structures

Abstract

Manifolds endowed with three foliations pairwise transversal are known as 3-webs. Equivalently, they can be algebraically defined as biparacomplex or complex product manifolds, i.e., manifolds endowed with three tensor fields of type (1, 1), F , P and J = F ◦ P , where the two first are product and the third one is complex, and they mutually anti-commute… (More)

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