4 citations · 7 across the 6 of their papers we have counts for
7 papers
Generalized Chen's conjecture for biharmonic maps on foliations
Xueshan Fu, Seoung Dal Jung
In this paper, we prove the generalized Chen's conjecture for (F,F')-biharmonic map, which is a critical point of the transversal bienergy functional
Twisted basic Dolbeault cohomology on transverse Kähler foliations
Seoung Dal Jung
In this paper, we study the twisted basic Dolbeault cohomology and transverse hard Lefschetz theorem on a transverse Kahler foliation. And we give some properties for -harmon…
Transversal hard Lefschetz theorem on transversely symplectic foliations
Jesús A. Álvarez López, Seoung Dal Jung
We study the transversal hard Lefschetz theorem on a transversely symplectic foliation. This article extends the results of transversally symplectic flows (H.K.~Pak, "Transversal h…
The mean curvature of transverse Kähler foliations
Seoung Dal Jung, Ken Richardson
We study properties of the mean curvature one-form and its holomorphic and antiholomorphic cousins on a transverse Kähler foliation. If the mean curvature of the foliation is autom…
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…
Transversal infinitesimal automorphisms on Kähler foliations
Seoung Dal Jung
Let F be a Kähler foliation on a compact Riemannian manifold M. we study the properties of infinitesimal automorphisms on (M,F), and in particular we concentrate on the transversal…