Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2020; 57(6): 1501-1509

Online first article July 17, 2020      Printed November 30, 2020

https://doi.org/10.4134/BKMS.b200022

Copyright © The Korean Mathematical Society.

Direct sum for basic cohomology of codimension four taut Riemannian foliation

Jiuru Zhou

Yangzhou University

Abstract

Go to

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 $C^{\infty}$ 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.~\cite{DLZ}.

Keywords: Riemannian foliation, basic cohomology, transversal almost complex structure

MSC numbers: Primary 53D10; Secondary 53C25, 53D35

Supported by: This work was partially financially supported by NSFC 11771377 and the Natural Science Foundation of Jiangsu Province(BK20191435)

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +