We discuss the continuity of the mapping defined by = and also of the inverse mapping v - l . particularly , we will show that the teichmuller co - metric on the teichmuller space is nowhere c1 whenever x is of infinite type , which contains a negative answer to a problem of gardiner ( [ ga ] , p 特别地，我们证明了当x是无限型曲面时， teichm ller空间t ( x )的teichm ller协度量是处处不连续可微的，因而否定地回答了gardiner的一个问题(见[ ga ] ， p
We extend this result which is similar to ones of hirsch [ 1l ] and jiang [ 2 ] for 3 - dimensional cooperative system . furthermore , in the paper we discusse the cone of km , and obtain the similar result : theorem b : let f be a continuously differentiable cooperative vector field on d , suppose the following conditions hold : ( a ) d is pm - convex ; ( b ) every forward semi - orbit has compact closure in d ; ( c ) there is not more than one equilibrium p , then there is a unique equilibrium p and it is globally asymptotically stable 此外，本文还将在k _ m锥下讨论此问题，并得到平行的结果：定理b ：设f是d上一个连续可微的合作向量场，假设如下条件成立： ( a ) d是p _ m凸的； ( b ) d中的每一个正半轨道有紧闭包； ( c )至多有一个平衡点p ，则一定存在唯一的平衡点p ，并且是全局渐近稳定的。
