Helga Baum, Andreas Juhl

Conformal Differential Geometry (eBook, PDF)

Q-Curvature and Conformal Holonomy

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 152
• Erscheinungstermin: 28. Januar 2011
• Englisch
• ISBN-13: 9783764399092
• Artikelnr.: 44222553

Inhaltsangabe

Q-curvature.- Conformal holonomy.

Rezensionen

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)