Positivity in Foliated Manifolds and Geometric Applications

Zhang, Yashan; Zheng, Tao

doi:10.48550/arxiv.2109.03996

2021

DOI: 10.48550/arxiv.2109.03996

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Positivity in Foliated Manifolds and Geometric Applications

Yashan Zhang¹,

Tao Zheng²

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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Positivity in Foliated Manifolds and Geometric Applications

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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References 50 publications

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