Liouville-type theorems for CC-harmonic maps from Riemannian manifolds to pseudo-Hermitian manifolds

2017 ◽  
Vol 52 (1) ◽  
pp. 25-44
Author(s):  
Tian Chong ◽  
Yuxin Dong ◽  
Yibin Ren
Keyword(s):  
Riemannian Manifolds ◽  
Harmonic Maps ◽  
Liouville Type ◽  
Hermitian Manifolds ◽  
Liouville Type Theorems

ENERGY ESTIMATES AND LIOUVILLE THEOREMS FOR HARMONIC MAPS

2000 ◽  
Vol 11 (03) ◽  
pp. 413-448 ◽  
Author(s):  
MARCO RIGOLI ◽  
ALBERTO G. SETTI
Keyword(s):  
Vector Bundle ◽  
Riemannian Manifolds ◽  
Harmonic Maps ◽  
Energy Estimates ◽  
Liouville Type ◽  
Harmonic Forms ◽  
Liouville Theorems ◽  
Liouville Type Theorems

We obtain lower and upper energy estimates for harmonic maps between Riemannian manifolds under natural curvature conditions leading to various Liouville-type theorems. Some of the methods described may also be applied to vanishing-type problems for vector bundle-valued harmonic forms.

ON HARMONIC AND PSEUDOHARMONIC MAPS FROM PSEUDO-HERMITIAN MANIFOLDS

2017 ◽  
Vol 234 ◽  
pp. 170-210 ◽  
Author(s):  
TIAN CHONG ◽  
YUXIN DONG ◽  
YIBIN REN ◽  
GUILIN YANG
Keyword(s):  
Riemannian Manifolds ◽  
Harmonic Maps ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Rigidity Results ◽  
Hermitian Manifolds

In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from pseudo-Hermitian manifolds into Riemannian manifolds or Kähler manifolds. Some foliated results, pluriharmonicity and Siu–Sampson type results are established for both harmonic maps and pseudoharmonic maps.

scholarly journals Liouville type theorems for p-harmonic maps

2008 ◽  
Vol 342 (1) ◽  
pp. 354-360 ◽  
Author(s):  
Dong Joo Moon ◽  
Huili Liu ◽  
Seoung Dal Jung
Keyword(s):  
Harmonic Maps ◽  
Liouville Type ◽  
Liouville Type Theorems

Liouville Type Theorems in the Theory of Mappings of Complete Riemannian Manifolds

2017 ◽  
Vol 221 (6) ◽  
pp. 737-744
Author(s):  
I. A. Aleksandrova ◽  
J. Mikeš ◽  
S. E. Stepanov ◽  
I. I. Tsyganok
Keyword(s):  
Riemannian Manifolds ◽  
Liouville Type ◽  
Liouville Type Theorems ◽  
Complete Riemannian Manifolds
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