We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we appl...We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we apply our results to the principal prolongation of connections. Finally we describe all such gauge natural operators for some special cases of a Lie group G.展开更多
In this paper,we generalize the Hall-Higman’s reduction theorem by dropping the restrictive hypothesis(丨G丨,丨H丨)=1 and determine the detailed structure of G.
基金supported by the Ministry of Education of Czech Republic under the project MSM 0021630518
文摘We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we apply our results to the principal prolongation of connections. Finally we describe all such gauge natural operators for some special cases of a Lie group G.
基金Supported in part by NSCF and Guangdong STCF.The author deeply thanks Professor Chen Zhongmu for his kind advice and help.
文摘In this paper,we generalize the Hall-Higman’s reduction theorem by dropping the restrictive hypothesis(丨G丨,丨H丨)=1 and determine the detailed structure of G.
