Conformal differential geometry: Q-curvature and conformal holonomy
Baum H., Juhl A.
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.
Kategorien:
Jahr:
2010
Verlag:
Birkhauser
Sprache:
english
Seiten:
164
ISBN 10:
3764399082
ISBN 13:
9783764399085
Serien:
Oberwolfach Seminars
Datei:
PDF, 902 KB
IPFS:
,
english, 2010
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