F-H-调和映照的刘维尔型定理

Liouville-type theorems for F-H-harmonic maps

该文研究了从黎曼流形出发到叶状黎曼流形的光滑映照和相应的F-水平能量泛函,称此类能量变分的临界点为F-H-调和映照,利用F-水平应力能量张量建立了关于F-水平能量增长性条件下F-H-调和映照的刘维尔型定理.

An F-horizontal energy functional is considered for maps from a Riemannian manifold to a Riemannian manifold with Riemannian foliation.The critical maps of this energy functional are called F-H-harmonic maps.Some Liouville-type theorems are established for F-H-harmonic maps under some growth conditions of the F-horizontal energy.