Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold
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🧮 math.DG
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foliatedmanifoldriemannianbasiccompleteformsharmonicabove
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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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