Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold
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Publication:2364666
zbMATH Open1377.53036arXiv1606.08934MaRDI QIDQ2364666
Publication date: 21 July 2017
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1606.08934
Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)
Related Items (4)
Vanishing theorems for \(f\)-harmonic forms on smooth metric measure spaces ⋮ A vanishing theorem on \(L^2\) harmonic forms. ⋮ Vanishing theorems for \(L^2\) harmonic forms on complete submanifolds in Euclidean space ⋮ Weighted \(p\)-basic harmonic forms and its applications
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