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The harmonicity and stability for foliations on Riemannian manifolds are studied by Kamber and Tondeur, and are generalized to canonical foliations on locally conformal Kähler manifolds. These results are based on the hypothesis under the metric is bundle-like. In this paper, we study harmonicity and stability for foliations with metrics which is not bundle-like. In fact, we show harmonicity and stability for canonical foliations on Inoue surfaces with Tricerri metric. 

Inoue surface, locally conformal Kähler, harmonic foliation, stability.