Non-unimodular transversely homogeneous foliations

2020/05/16 by E. Macías–Virgós, Macías-Virgós, E., Pedro L. Martín-Méndez +1
Mathematics · #2010: Primary: 57R30 Secondary: 53C12 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2005.07975

openalex publication_date 2020/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give sufficient conditions for the tautness of a transversely homogenous foliation defined on a compact manifold, by computing its base-like cohomology. As an application, we prove that if the foliation is non-unimodular then either the ambient manifold, the closure of the leaves or the total space of an associated principal bundle fiber over S¹.

Citations

• Secondary characteristic classes of transversely homogeneous foliations

Related

• Secondary characteristic classes of transversely homogeneous foliations
• Transversely affine holomorphic foliations of arbitrary codimension - I
• Rigid secondary characteristic classes
• Growth of some transversely homogeneous foliations
• Compact foliations with finite transverse LS category