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Idioma: Inglés
Publicado por Birkhäuser Basel, Birkhäuser, 2010
ISBN 10: 3764399082 ISBN 13: 9783764399085
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Añadir al carritoTaschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
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Idioma: Inglés
Publicado por Providence, American Mathematical Society, 2020
ISBN 10: 1470443244 ISBN 13: 9781470443245
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Añadir al carritoSoftcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00044 9781470443245 Sprache: Englisch Gewicht in Gramm: 350.
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Publicado por American Mathematical Society, Providence, Rhode Island, 2021
ISBN 10: 1470443244 ISBN 13: 9781470443245
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Añadir al carritoCondición: New. 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. . 2009. Hardback. . . . .
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Añadir al carritoTaschenbuch. Condición: Neu. Cohomological Theory of Dynamical Zeta Functions | Andreas Juhl | Taschenbuch | Progress in Mathematics | x | Englisch | 2012 | Birkhäuser | EAN 9783034895248 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Idioma: Inglés
Publicado por Birkhäuser Basel, Springer Basel Mai 2009, 2009
ISBN 10: 376439899X ISBN 13: 9783764398996
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
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Añadir al carritoBuch. Condición: Neu. Neuware -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. Here two metrics are considered to belong to the same conf- mal class if they di er by a nowhere vanishing factor. A typical question in that direction is the Yamabe problem ([165]), which asks for constant scalar curvature metrics in conformal classes. In connection with the problem of understanding the structure of Polyakov type formulas for the determinants of conformally covariant di erential operators in higher dimensions, Branson ([31]) discovered a remarkable curvature quantity which now is called Branson¿s Q-curvature. It is one of the main objects in this book.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 508 pp. Englisch.
Idioma: Inglés
Publicado por Birkhäuser, Birkhäuser, 2009
ISBN 10: 376439899X ISBN 13: 9783764398996
Librería: AHA-BUCH GmbH, Einbeck, Alemania
EUR 106,99
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Añadir al carritoBuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The central object of the book is a subtle scalar Riemannian curvature quantity in even dimensions which is called Branson's Q-curvature. It was introduced by Thomas Branson about 15 years ago in connection with an attempt to systematise the structure of conformal anomalies of determinants of conformally covariant differential operators on Riemannian manifolds. Since then, numerous relations of Q-curvature to other subjects have been discovered, and the comprehension of its geometric significance in four dimensions was substantially enhanced through the studies of higher analogues of the Yamabe problem. The book attempts to reveal some of the structural properties of Q-curvature in general dimensions. This is achieved by the development of a new framework for such studies. One of the main properties of Q-curvature is that its transformation law under conformal changes of the metric is governed by a remarkable linear differential operator: a conformally covariant higher order generalization of the conformal Laplacian. In the new approach, these operators and the associated Q-curvatures are regarded as derived quantities of certain conformally covariant families of differential operators which are naturally associated to hypersurfaces in Riemannian manifolds. This method is at the cutting edge of several central developments in conformal differential geometry in the last two decades such as Fefferman-Graham ambient metrics, spectral theory on Poincaré-Einstein spaces, tractor calculus, and Cartan geometry. In addition, the present theory is strongly inspired by the realization of the idea of holography in the AdS/CFT-duality. This motivates the term holographic descriptions of Q-curvature.
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Añadir al carritoPaperback. Condición: Brand New. 724 pages. 9.25x6.10x1.64 inches. In Stock.
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Añadir al carritoCondición: New. 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. . 2009. Hardback. . . . . Books ship from the US and Ireland.