دانلود کتاب Conformal differential geometry: Q-curvature and conformal holonomy

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Cover......Page 1
Oberwolfach Seminars\rVolume 40......Page 3
Conformal\rDifferential Geometry......Page 4
ISBN 9783764399085......Page 5
Table of Contents......Page 6
Preface......Page 8
1.1 The flat model of conformal geometry......Page 13
1.2 Q-curvature of order 4......Page 17
1.3 GJMS-operators and Branson’s Q-curvatures......Page 33
1.4 Scattering theory......Page 43
1.5 Residue families and the holographic formula for Qn......Page 58
1.6 Recursive structures......Page 71
2.1 Cartan connections and holonomy groups......Page 91
2.2 Holonomy groups of conformal structures......Page 101
2.2.1 The first prolongation of the conformal frame bundle......Page 102
2.2.2 The normal conformal Cartan connection – invariant form......Page 106
2.2.3 The normal conformal Cartan connection – metric form......Page 109
2.2.4 The tractor connection and its curvature......Page 111
2.3 Conformal holonomy and Einstein metrics......Page 115
2.4 Classification results for Riemannian and Lorentzian conformal holonomy groups......Page 121
2.5 Conformal holonomy and conformal Killing forms......Page 123
2.6 Conformal holonomy and conformal Killing spinors......Page 127
2.7 Lorentzian conformal structures with holonomy group SU(1,m)......Page 140
2.7.1 CR geometry and Fefferman spaces......Page 141
2.7.2 Conformal holonomy of Fefferman spaces......Page 147
2.8 Further results......Page 149
Bibliography......Page 151
Index......Page 161