Xueshan Fu

collaborators

3 papers

math.DG2023

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

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 $(F, F^{'})$ -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 $(F, F^{'})_{p}$ -harmonic maps between foliated Riemannian manifolds $(M, g, F)$ and $(M^{'}, g^{'}, F^{'})$ . A $(\mathcal F,\mathcal F')…