Conformal differential geometry : Q-curvature and conformal holonomy
著者
書誌事項
Conformal differential geometry : Q-curvature and conformal holonomy
(Oberwolfach seminars, 40)
Birkhäuser, c2010
- : pbk
- タイトル別名
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Conformal differential geometry
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注記
Includes bibliographical references (p. [139]-147) and index
内容説明・目次
内容説明
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.
目次
Q-curvature.- Conformal holonomy.
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