13 papers
A Liouville theorem of VT-harmonic map heat flow
Xiangzhi Cao
We proved an Liouville theorem for Backward V T-harmonic map heat flow from evolution manifolds into generalized regular ball. Among others, we also proved an Liouville theorem for…
Liouville theorem for --symphonic map , --harmonic map and and - harmonic map with free boundary
Xiangzhi Cao
In this paper, we obtained Liouville theorem for --symphonic map , --harmonic map and - harmonic map with free boundary on metric measure s…
Symphonic map from ellipsoid to ellipsoid
Xiangzhi Cao
In this paper, we proved the existence of Symphonic map from ellipsoid to ellipsoid. We also geive give Hopf construction of Symphonic map from ellipsoid to ellipsoid.
Liouville theorem of VT harmonic map from complete noncompact manifold into horoball
Xiangzhi Cao
In this paper, we mainly study Liouville theorem of V T harmonic map from complete noncompact manifold into horoball in Cartan-Hardmard manifold. To this aim, we will establish gra…
Schwarz Lemma for VT harmonic map
Xiangzhi Cao
In this paper, we obtained Schwarz Lemma of harmonic map including distance decreasing property and volume decreasing property under some conditions about the eigenvalue of…
Heat flow for VT harmonic map from compact manifold
Xiangzhi Cao
In this paper, we obtain the existence of Dirichlet problem for VT harmonic map from compact Riemannian manifold with or without boundary into compact manifold via the heat flow me…