Conformal differential geometry : Qcurvature and conformal holonomy
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The work Conformal differential geometry : Qcurvature and conformal holonomy represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Conformal differential geometry : Qcurvature and conformal holonomy
Resource Information
The work Conformal differential geometry : Qcurvature and conformal holonomy represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Conformal differential geometry : Qcurvature and conformal holonomy
 Title remainder
 Qcurvature and conformal holonomy
 Statement of responsibility
 Helga Baum, Andreas Juhl
 Language
 eng
 Summary
 Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Wellknown examples of conformally covariant operators are the Yamabe, the Paneitz, the Dirac and the twistor operator. These operators are intimely connected with the notion of Branson's Qcurvature. The aim of these lectures is to present the basic ideas and some of the recent developments around Q curvature and conformal holonomy. The part on Q curvature starts with a discussion of its origins and its relevance in geometry and spectral theory. The following lectures describe the fundamental relation between Q curvature and scattering theory on asymptotically hyperbolic manifolds. Building on this, they introduce the recent concept of Q curvature polynomials and use these to reveal the recursive structure of Q curvatures. The part on conformal holonomy starts with an introduction to Cartan connections and its holonomy groups. Then we define holonomy groups of conformal manifolds, discuss its relation to Einstein metrics and recent classification results in Riemannian and Lorentzian signature. In particular, we explain the connection between conformal holonomy and conformal Killing forms and spinors, and describe Fefferman metrics in CR geometry as Lorentzian manifold with conformal holonomy SU(1,m)
 Cataloging source
 GW5XE
 Dewey number
 516.35
 Index
 index present
 LC call number
 QA609
 LC item number
 .B38 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Oberwolfach seminars
 Series volume
 40
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