Direct sum for basic cohomology of codimension four taut Riemannian foliation
Bull. Korean Math. Soc.
Published online July 17, 2020
Jiuru Zhou
Yangzhou University
Abstract : 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. (Int. Math. Res. Not. IMRN 1:1–17, 2010).
Keywords : Riemannian foliation, basic cohomology, transversal almost complex structure
MSC numbers : 53D10; 53C25; 53D35
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd