Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold

Seoung Dal Jung; Huili Liu

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arXiv · 1606.08934

Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold

Seoung Dal Jung·Huili Liu

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Abstract

On a compact foliated Riemannian manifold with some transversal curvature conditions, there are no nontrivial basic harmonic forms (M. Min-Oo et al., J. Reine Angew. Math. 415 (1991). In this paper, we extend the above facts to a complete foliated Riemannian manifold.

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Seoung Dal Jung, Huili Liu. 2016-06-29. Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold. https://arxiv.org/abs/1606.08934

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