Conformal Differential Geometry
Springer Basel (Verlag)
978-3-7643-9908-5 (ISBN)
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.
Q-curvature.- Conformal holonomy.
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)| Erscheint lt. Verlag | 14.1.2010 |
|---|---|
| Reihe/Serie | Oberwolfach Seminars |
| Zusatzinfo | X, 152 p. |
| Verlagsort | Basel |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 320 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | conformal invariants • Curvature • Differentialgeometrie • Differential Geometry • Differenzialgeometrie • holonomy • Spinor • Tensor |
| ISBN-10 | 3-7643-9908-2 / 3764399082 |
| ISBN-13 | 978-3-7643-9908-5 / 9783764399085 |
| Zustand | Neuware |
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