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arXiv · 2109.03996

Positivity in Foliated Manifolds and Geometric Applications

Yashan Zhang·Tao Zheng
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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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Yashan Zhang, Tao Zheng. 2021-09-09. Positivity in Foliated Manifolds and Geometric Applications. https://arxiv.org/abs/2109.03996

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