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math.DG2016
Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold
Seoung Dal Jung, Huili Liu
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 (199…
math.DG2016
L2-transverse conformal Killing forms on complete foliated manifolds
Seoung Dal Jung, Huili Liu
In this article, we study the L2-transverse conformal Killing forms on complete foliated Riemannian manifolds and prove some vanishing theorems. Also, we study the same problems on…
math.DG2010★ 1 cited
The duality of conformally flat manifolds
Huili Liu, Masaaki Umehara, Kotaro Yamada
In a joint work with Saji, the second and the third authors gave an intrinsic formulation of wave fronts and proved a realization theorem of wave fronts in space forms. As an appli…