Baum / Juhl Conformal Differential Geometry

Q-Curvature and Conformal Holonomy
Erscheinungsjahr 2011
ISBN: 978-3-7643-9909-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 40, 152 Seiten, eBook

Reihe: Oberwolfach Seminars

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. The part on conformal holonomy describes recent classification results, its relation to Einstein metrics and to conformal Killing spinors, and related special geometries.

Zielgruppe

Research

Autoren/Hrsg.

Baum, Helga

Juhl, Andreas

Inhaltsverzeichnis

Q-curvature.- Conformal holonomy.