A theorem of Liouville type for p-harmonic maps in weighted Riemannian manifolds

Kodai Mathematical Journal

Yue Wang¹  Jian-Feng Zhang² 

[1]Department of Mathematics China Jiliang University

[2]Department of Mathematics Lishui University

关键词: Weighted Riemannian manifolds;    p-harmonic map;    f-harmonic map;    Bakry-Émery-Ricci curvature;    liouville type theorem;   

DOI  :  10.2996/kmj/1467830142

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(12)Let M be a weighted Riemannian manifold with non-negative Bakry-Émery-Ricci curvature and N be a complete Riemannian manifold of non-positive sectional curvature. In this paper, the p-harmonic map u: M → N is studied, and a theorem of Liouville type is obtained.

【 授权许可】

Unknown