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Families of Conformally Covariant Differential Operators, Q-Curvature and Holography
Andreas Juhl
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Description for Families of Conformally Covariant Differential Operators, Q-Curvature and Holography
Hardback. This 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. Series: Progress in Mathematics. Num Pages: 490 pages, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 30. Weight in Grams: 1002.
A basic problem in geometry is to ?nd canonical metrics on smooth manifolds. Such metrics can be speci?ed, for instance, by curvature conditions or extremality properties, and are expected to contain basic information on the topology of the underlying manifold. Constant curvature metrics on surfaces are such canonical metrics. Their distinguished role is emphasized by classical uniformization theory. Amorerecentcharacterizationofthesemetrics describes them ascriticalpoints of the determinant functional for the Laplacian.The key tool here is Polyakov'sva- ationalformula for the determinant. In higher dimensions, however,it is necessary to further restrict the problem, for instance, to the search for canonical metrics in conformal classes. ... Read more
A basic problem in geometry is to ?nd canonical metrics on smooth manifolds. Such metrics can be speci?ed, for instance, by curvature conditions or extremality properties, and are expected to contain basic information on the topology of the underlying manifold. Constant curvature metrics on surfaces are such canonical metrics. Their distinguished role is emphasized by classical uniformization theory. Amorerecentcharacterizationofthesemetrics describes them ascriticalpoints of the determinant functional for the Laplacian.The key tool here is Polyakov'sva- ationalformula for the determinant. In higher dimensions, however,it is necessary to further restrict the problem, for instance, to the search for canonical metrics in conformal classes. ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
490
Condition
New
Series
Progress in Mathematics
Number of Pages
490
Place of Publication
Basel, Switzerland
ISBN
9783764398996
SKU
V9783764398996
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Families of Conformally Covariant Differential Operators, Q-Curvature and Holography
From the reviews: “The author focuses this book on the … Q-curvature and its relations with the conformal differential geometry. … This beautiful and interesting research book covers a new topic in Riemannian differential geometry that intersects many areas of the actual research in Mathematics and in Mathematical Physics. Thus it can be highly recommended to all Mathematicians … ... Read more