拟共形映射与Turning域  

Quasi-conformal Mappings and Turning Domains

作　　者：冯小高[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2012年第1期45-47,共3页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金资助项目(NO.10371078);西华师范大学科研基金(NO.04009797)

摘　　要：讨论了拟共形映射与Turning域及ILC域之间的关系.首先根据拟共形映射与Turning域的性质得到f是拟共形映射的充要条件是f将Rn中的Turning域映成Rn中的Turning域;然后根据Turning域及ILC域的等价性得到f是拟共形映射的充要条件是f将Rn中的ILC域映成Rn中的ILC域.The relation of quasi-conformal mappings and Turning domains,ILC domains are discussed.Firstly,on the basis of properties of quasi-conformal mappings and Turning domains,we obtain that f is a quasi-conformal mapping if and only if the Turning domains in Rn are invariant under f;and then by equivalence of Turning domains and ILC domains we conolude that f is a quasi-conformal mapping if and only if the ILC domains in Rn are invariant under f.

关 键 词：拟共形映射 Turning域 ILC域 同胚 

分 类 号：O174.55[理学—数学]