Direct sum for basic cohomology of codimension four taut Riemannian foliation (2001.02485v1)

Published 8 Jan 2020 in math.DG

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.

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Authors (1)

Jiuru Zhou

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