activity
20092022
most citedBasic Dolbeault cohomology and Weitzenböck frmulas on transversely Kähler foliations

3 citations · 3 across the 7 of their papers we have counts for

collaborators

10 papers

math.DG2022

Harmonic maps on weighted Riemannian foliations

Xueshan Fu, Jinhua Qian, Seoung Dal Jung

On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and -harmonic map which are equivalent when the foliation is minimal. In this paper…

math.DG2022

Liouville type theorem for (F;F')p-harmonic maps on foliations

Xueshan Fu, Seoung Dal Jung

In this paper, we study -harmonic maps between foliated Riemannian manifolds and . A $(\mathcal F,\mathcal F')…

math.DG2021

Transversely symplectic Dirac operators on a transversely symplectic foliation

Seoung Dal Jung

We study the transversely metaplectic structure and the transversely symplectic Dirac operator on a transversely symplectic foliation. Moreover, we give the Weitzenbock type formul…

math.DG2017★ 3 cited

Basic Dolbeault cohomology and Weitzenböck frmulas on transversely Kähler foliations

Seoung Dal Jung, Ken Richardson

We study basic Dolbeault cohomology and find new Weitzenböck formulas on a transversely Kähler foliation. We investigate conditions on mean curvature and Ricci curvature that impos…

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.DG2014

Transverse conformal Killing forms on Kahler foliations

Seoung Dal Jung

On a closed, connected Riemannian manifold with a Kähler foliation of codimension , any transverse Killing -form is parallel (S. D. Jung and M. J. Jung [\ref{JJ2…