2020/01/08 by Jiuru Zhou, Zhou, Jiuru
Mathematics · #53C25 #53D10 #53D35 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2001.02485
openalex publication_date 2020/01/08 · openalex created_date 2020/01/23 · openalex updated_date 2026/07/28
We discuss the decomposition of degree two basic cohomology for codimension four taut Riemannian foliation according to the holonomy invariant transversal almost complex structure J, and show that J is C pure and full. In addition, we obtain an estimate of the dimension of basic J-anti-invariant subgroup. These are the foliated version for the corresponding results of T. Draghici et al.