单连通负曲率流形上指数调和映照的常边值问题

Constant boundary-valued problems for exponential-harmonic maps on complete simply connected Riemannian manifolds with negative sectional curvature

应用重要等式∫DF|d2u|2g(X,n)σg=∫DF′|d2u|2h(uX,un)σg+∫D(divSF(u))(X)vg+∫D〈SF(u),X〉vg,讨论完备单连通具有负截曲率黎曼流形上指数调和映照的常边值问题,得到相应的刘维尔型定理.

This paper uses the important equationδD∫F（｜du｜^2/2）g（X,n）δg=δD∫F＇（｜du｜^2/2）h（u,X,u.n）δg＋D∫（divSF（u））（X）Ug＋D∫〈SF（u）,△↓X〉Ug to discuss theconstant boundary-valued problems for exponential-harmonic maps on complete simply connected Riemannian manifolds with negative sectional curvature, and obtains Liouville-type theorems.