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Families of Conformally Covariant Differential Operators, Q-Curvature and Holography (Progress in Mathematics)
Families of Conformally Covariant Differential Operators, Q-Curvature and Holography (Progress in Mathematics) Summary:By Andreas Juhl
The central object of the book is Q-curvature. This important and subtle scalar Riemannian curvature quantity was introduced by Tom Branson about 15 year ago in connection with variational formulas for determinants of conformally covariant differential operators. The book studies structural properties of Q-curvature from an extrinsic point of view by regarding it as a derived quantity of certain conformally covariant families of differential operators which are associated to hypersurfaces. The new approach is at the cutting edge of central developments in conformal differential geometry in the last two decades (Fefferman-Graham ambient metrics, spectral theory on Poincare-Einstein spaces, tractor calculus, Verma modules and Cartan geometry). The theory of conformally covariant families is inspired by the idea of holography in the AdS/CFT-duality. Among other things, it naturally leads to a holographic description of Q-curvature. The methods admit generalizations in various directions. Please select one mirror to download
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OLDER EBOOKSSponsored LinksFamilies of Conformally Covariant Differential Operators, Q-Curvature and Holography (Progress in Mathematics) Keywordsdifferential covariant conformally q curvature operators families theory central description quantity geometry holography spectral poincare einstein tractor spaces fefferman graham conformal conformally covariant differential operators covariant differential curvature quantity variational formulas structural properties riemannian curvature studies structural subtle scalar operators q curvature conformally covariant differential covariant differential operatorsBookmark Families of Conformally Covariant Differential Operators, Q-Curvature and Holography (Progress in Mathematics)Hyperlink code:
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