Authors:
- Reviews very recent developments
- Compact introduction into an active field of research
Part of the book series: Oberwolfach Seminars (OWS, volume 40)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (2 chapters)
-
Front Matter
-
Back Matter
About this book
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.
Reviews
From the reviews:
“This book grew out of an Oberwolfach student seminar on recent developments in conformal differential geometry which took place in 2007. It splits into two chapters, which to a large extent are independent of each other. Each of the chapters is an extended version of a series of lectures presented by one of the authors during the seminar and offers a nice and easily readable survey of an active area of research in conformal differential geometry.” (Andreas Cap, Mathematical Reviews, Issue 2011 d)Authors and Affiliations
-
Institut für Mathematik, Humboldt-Universität, Berlin, Germany
Helga Baum, Andreas Juhl
-
Matematiska Institutionen, Universitet Uppsala, Uppsala, Sweden
Andreas Juhl
Bibliographic Information
Book Title: Conformal Differential Geometry
Book Subtitle: Q-Curvature and Conformal Holonomy
Authors: Helga Baum, Andreas Juhl
Series Title: Oberwolfach Seminars
DOI: https://doi.org/10.1007/978-3-7643-9909-2
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2010
Softcover ISBN: 978-3-7643-9908-5
eBook ISBN: 978-3-7643-9909-2
Series ISSN: 1661-237X
Series E-ISSN: 2296-5041
Edition Number: 1
Number of Pages: X, 152
Topics: Differential Geometry