Abstract
A well-known result by M. Min-Oo et al. states that there are no nontrivial basic harmonic $r (0< r<q={\rm codim}\mathcal F)$-forms on a compact foliated Riemannian manifold $(M,\mathcal F)$. We extend this result to a complete foliated Riemannian manifold.
Citation
Seoung Dal Jung. Huili Liu. "Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold." Bull. Belg. Math. Soc. Simon Stevin 24 (1) 153 - 160, march 2017. https://doi.org/10.36045/bbms/1489888820
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