Conformal Differential Geometry: Q-Curvature and Conformal Holonomy
Conformal Differential Geometry: Q-Curvature and Conformal Holonomy by Helga Baum , Andreas Juhl
English | PDF (True) | 2010 | 161 Pages | ISBN : 3764399082 | 1.43 MB
Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the twistor operator. The aim of the seminar was to present the basic ideas and some of the recent developments around Q-curvature and conformal holonomy. The part on Q-curvature discusses its origin, its relevance in geometry, spectral theory and physics. Here the influence of ideas which have their origin in the AdS/CFT-correspondence becomes visible.