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Conformal differential geometry: Q-curvature and conformal holonomy PDF

164 Pages·2010·0.881 MB·English
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by Baum H., Juhl A.| 2010| 164 pages| 0.881| English

About Conformal differential geometry: Q-curvature and conformal holonomy

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.

Detailed Information

Author:Baum H., Juhl A.
Publication Year:2010
ISBN:9783764399085
Pages:164
Language:English
File Size:0.881
Format:PDF
Price:FREE
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