p-调和映照的非存在性定理

Nonexistence theorems for p-harmonic maps

定义了黎曼流形间光滑映照的p 应力 能量张量 ,p∈ [2 ,∞ ) ,并研究了它的一些基本性质 ,应用它及黎曼几何中的Hesse比较定理证明了p 调和映照的一个非存在性定理 .

The p stress energy tensor for some smooth maps between Riemannian manifolds is defined,and its basic properties are also studied.Using these properties and Hessian comparison theorem in Riemannian geometry,a nonexistence theorem for p harmonic maps is proved.