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http://dx.doi.org/10.4134/BKMS.b200022

DIRECT SUM FOR BASIC COHOMOLOGY OF CODIMENSION FOUR TAUT RIEMANNIAN FOLIATION

Zhou, Jiuru (School of Mathematical Sciences Yangzhou University)

Publication Information

Bulletin of the Korean Mathematical Society / v.57, no.6, 2020 , pp. 1501-1509 More about this Journal

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^∞ 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. [3].

Keywords

Riemannian foliation; basic cohomology; transversal almost complex structure;

Citations & Related Records

Reference

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