Positivity in Foliated Manifolds and Geometric Applications

Published 9 Sep 2021 in math.DG | (2109.03996v4)

Abstract: We introduce the notion of positivity for a real basic $(1,1)$ class in basic Bott-Chern cohomology group on foliated manifolds, and study the relationship between this positivity and the negativity of transverse holomorphic sectional curvature and give some geometric applications.

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