CC-稳态映射的刘维尔型定理

Liouville Type Theorems for CC-stationary Maps

引进了从黎曼流形到伪Hermitian流形上映射的水平泛函ΦH,这种泛函的临界映射称为CC-稳态映射.利用水平应力能量张量,得到从黎曼流形出发到伪Hermitian流形上的水平CC-稳态映射和从黎曼流形出发到Sasakian流形上的CC-稳态映射的能量单调公式及刘维尔型结果.

A horizontal functionalΦHfor the maps from Riemannian manifold to pseudo-Hermitian manifold was introduced,the critical maps of this functional were called CC-stationary maps.Then by using horizontal stress-energy tensor,some monotonicity formulas and Liouville type theorems were obtained for the horizontal CC-stationary maps from Riemannian manifold to pseudo-Hermitian manifold or the CC-stationary maps from Riemannian manifold to Sasakian manifold.