Seoung Dal Jung
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Seoung Dal Jung has a total of 22 co-authors. Here are the top co-authors by number of shared publications:
- Xueshan Fu
Department of Mathematics, Jeju National University, Jeju 63243, Korea
11 shared publications - Jinhua Qian
Northeastern University
7 shared publications - Ken Richardson
Department of Mathematics, Texas Christian University, Fort Worth, USA
6 shared publications - Huili Liu
Department of Mathematics, Northeastern University, Shenyang, People’s Republic of China
4 shared publications Min Joo Jung
3 shared publications- Jesús Antonio Álvarez López
University of Santiago de Compostela (USC)
2 shared publications
Latest Publications
- 28 November 2025
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 120 (1) , 23
Transverse Ricci solitons on a compact foliated manifold
- 28 November 2025
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 120 (1) , 23
Transverse Ricci solitons on a compact foliated manifold
- 6 June 2024
- Published by Elsevier in Journal of Geometry and Physics
- Vol. 203
Weighted p-basic harmonic forms and its applications
- 6 June 2024
- Published by Elsevier in Journal of Geometry and Physics
- Vol. 203
Weighted p-basic harmonic forms and its applications
- Open Access
Transverse Ricci solitons on a compact foliated manifold
We investigate transverse Ricci solitons, the self-similar solutions of the transverse Ricci flow, on a compact foliated manifold. In particular, we show the relations between a taut Riemannian foliation and a transverse Ricci soliton. Moreover, we find some examples of transverse Ricci solitons.
Open AccessTransverse Ricci solitons on a compact foliated manifold
We investigate transverse Ricci solitons, the self-similar solutions of the transverse Ricci flow, on a compact foliated manifold. In particular, we show the relations between a taut Riemannian foliation and a transverse Ricci soliton. Moreover, we find some examples of transverse Ricci solitons.
- Open Access
Generalized Chen's conjecture for biharmonic maps on foliations
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
Open AccessGeneralized Chen's conjecture for biharmonic maps on foliations
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
- Open Access
Harmonic maps on weighted Riemannian foliations
On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and $(F,F')$-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally f-harmonic and $(F,F')_f$-harmonic maps on weighted foliations.
Open AccessHarmonic maps on weighted Riemannian foliations
On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and $(F,F')$-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally f-harmonic and $(F,F')_f$-harmonic maps on weighted foliations.
- 20 April 2023
- Published by Springer Nature in Results in Mathematics
- Vol. 78 (4) , 1-21
Liouville Type Theorem for $({\mathcal {F}},{\mathcal {F}}')_{p}$-Harmonic Maps on Foliations- 20 April 2023
- Published by Springer Nature in Results in Mathematics
- Vol. 78 (4) , 1-21
Liouville Type Theorem for $({\mathcal {F}},{\mathcal {F}}')_{p}$-Harmonic Maps on Foliations- Open Access
- 6 February 2023
- Published by Springer Nature in Research Square
Harmonic maps on weighted foliations
On foliations, there are two kinds of harmonic maps, that is, transversallyharmonic map and (F,F')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally ƒ-harmonic and (F,F')ƒ-harmonic maps on weightedfoliations. Moreover, we investigate the relations between transversal stress energy tensorsand tranversally ƒ-harmonic maps.
- 6 February 2023
- Published by Springer Nature in Research Square
Open AccessHarmonic maps on weighted foliations
On foliations, there are two kinds of harmonic maps, that is, transversallyharmonic map and (F,F')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally ƒ-harmonic and (F,F')ƒ-harmonic maps on weightedfoliations. Moreover, we investigate the relations between transversal stress energy tensorsand tranversally ƒ-harmonic maps.
- 31 May 2022
- Published by Springer Nature in Annals of Global Analysis and Geometry
- Vol. 62 (2) , 285-303
Twisted basic Dolbeault cohomology on transverse Kähler foliations
- 31 May 2022
- Published by Springer Nature in Annals of Global Analysis and Geometry
- Vol. 62 (2) , 285-303
Twisted basic Dolbeault cohomology on transverse Kähler foliations
- Open Access
Liouville type theorem for (F;F')p-harmonic maps on foliations
In this paper, we study $(\mathcal F,\mathcal F')_{p}$-harmonic maps between foliated Riemannian manifolds $(M,g,\mathcal F)$ and $(M',g',\mathcal F')$. A $(\mathcal F,\mathcal F')_{p}$-harmonic map $\phi:(M,g,\mathcal F)\to (M', g',\mathcal F')$ is a critical point of the transversal $p$-energy functional $E_{B,p}$. Trivially, $(\mathcal F,\mathcal F')_2$-harmonic map is $(\mathcal F,\mathcal F')$-harmonic map, which is a critical point of $E_B$. There is another definition of a harmonic map on foliated Riemannian manifolds, called transversally harmonic map, which is a solution of the Euler-Largrange equation $\tau_b(\phi)=0$. Two definitions are not equivalent, but if $\mathcal F$ is minimal, then two definitons are equivalent. Firstly, we give the first and second variational formulas for $(\mathcal F,\mathcal F')_{p}$-harmonic maps. Next, we investigate the generalized Weitzenb\"ock type formula and the Liouville type theorem for $(\mathcal F,\mathcal F')_{p}$-harmonic map.Open AccessLiouville type theorem for (F;F')p-harmonic maps on foliations
In this paper, we study $(\mathcal F,\mathcal F')_{p}$-harmonic maps between foliated Riemannian manifolds $(M,g,\mathcal F)$ and $(M',g',\mathcal F')$. A $(\mathcal F,\mathcal F')_{p}$-harmonic map $\phi:(M,g,\mathcal F)\to (M', g',\mathcal F')$ is a critical point of the transversal $p$-energy functional $E_{B,p}$. Trivially, $(\mathcal F,\mathcal F')_2$-harmonic map is $(\mathcal F,\mathcal F')$-harmonic map, which is a critical point of $E_B$. There is another definition of a harmonic map on foliated Riemannian manifolds, called transversally harmonic map, which is a solution of the Euler-Largrange equation $\tau_b(\phi)=0$. Two definitions are not equivalent, but if $\mathcal F$ is minimal, then two definitons are equivalent. Firstly, we give the first and second variational formulas for $(\mathcal F,\mathcal F')_{p}$-harmonic maps. Next, we investigate the generalized Weitzenb\"ock type formula and the Liouville type theorem for $(\mathcal F,\mathcal F')_{p}$-harmonic map. - 4 March 2022
- Published by Springer Nature in Journal of Geometry
- Vol. 113 (1) , 1-13
Ruled invariants and total classification of non-developable ruled surfaces
- 4 March 2022
- Published by Springer Nature in Journal of Geometry
- Vol. 113 (1) , 1-13
Ruled invariants and total classification of non-developable ruled surfaces