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

2016/06/29 by Seoung Dal Jung, Huili Liu, Jung, Seoung Dal +1
Mathematics · Physics and Astronomy · #53C12 #58E20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1606.08934

openalex publication_date 2016/06/29 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

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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