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Reduction Theorems for Principal and Classical Connections

Reduction Theorems for Principal and Classical Connections
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摘要 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. 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.
作者 Miroslav DOUPOVEC Wlodzimierz M. MIKULSKI
机构地区 Department of Mathematics Institute of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第1期169-184,共16页 数学学报（英文版）
基金 supported by the Ministry of Education of Czech Republic under the project MSM 0021630518
关键词 Gauge natural operator reduction theorem principal prolongation Gauge natural operator, reduction theorem, principal prolongation
分类号 O152.5 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2010年 第1期

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