Liouville theorems for F-harmonic maps and their applications

• DOI: 10.48550/arxiv.1111.1882
• Publication Date: 2011-01-01
• Authors: Yuxin Dong; Hezi Lin; Guilin Yang
• Keywords: Harmonic map; Hessian matrix; Infinity; Harmonic

We prove several Liouville theorems for F-harmonic maps from some complete Riemannian manifolds by assuming conditions on the Hessian of distance function, degrees F(t) and asymptotic behavior map at infinity. In particular, results can be applied to pinched manifolds, deduce a Bernstein type result an entire minimal graph.