natural operations in differential geometry 1993 springer

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1、NATURALOPERATIONSINDIFFERENTIALGEOMETRYIvanKolarPeterW.MichorJanSlovakMailingaddress:PeterW.Michor,Institutf•urMathematikderUniversit•atWien,Strudlhofgasse4,A-1090Wien,Austria.IvanKolar,JanSlovak,DepartmentofAlgebraandGeometryFacultyofScience,MasarykUniversityJanack

2、ovonam2a,CS-66295Brno,CzechoslovakiaElectronicedition.OriginallypublishedbySpringer-Verlag,BerlinHeidelberg1993,ISBN3-540-56235-4,ISBN0-387-56235-4.TypesetbyAMS-TEXvTABLEOFCONTENTSPREFACE............................1CHAPTERI.MANIFOLDSANDLIEGROUPS................41.Dierent

3、iablemanifolds.....................42.Submersionsandimmersions..................113.Vectoreldsand ows.....................164.Liegroups..........................305.Liesubgroupsandhomogeneousspaces.............41CHAPTERII.DIFFERENTIALFORMS...................496.Vectorbundl

4、es........................497.Dierentialforms.......................618.DerivationsonthealgebraofdierentialformsandtheFr•olicher-Nijenhuisbracket...............67CHAPTERIII.BUNDLESANDCONNECTIONS...............769.Generalberbundlesandconnections..............7610.Principa

5、lberbundlesandG-bundles..............8611.Principalandinducedconnections...............99CHAPTERIV.JETSANDNATURALBUNDLES...............11612.Jets.............................11713.Jetgroups..........................12814.Naturalbundlesandoperators.................13815.Pro

6、longationsofprincipalberbundles.............14916.Canonicaldierentialforms..................15417.Connectionsandtheabsolutedierentiation...........158CHAPTERV.FINITEORDERTHEOREMS.................16818.Bundlefunctorsandnaturaloperators..............16919.Peetre-liketheore

7、ms......................17620.Theregularityofbundlefunctors................18521.Actionsofjetgroups......................19222.Theorderofbundlefunctors..................20223.Theorderofnaturaloperators.................205CHAPTERVI.METHODSFORFINDINGNATURALOPERATORS......2122

8、4.PolynomialGL(V)-equivariantmaps..............21325.Naturaloperatorsonlinearconne