| 书目名称 | Families of Conformally Covariant Differential Operators, Q-Curvature and Holography | | 编辑 | Andreas Juhl | | 视频video | | | 概述 | First monograph dealing with Branson’s Q-curvature.Develops a new perspective on the subject, presents original results and suggests new research programs.Combines ideas of theoretical physics, differ | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .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 o | | 出版日期 | Book 2009 | | 关键词 | conformally covariant operator; curvature; differential geometry; holography; hyperbolic geometry; intert | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-9900-9 | | isbn_ebook | 978-3-7643-9900-9Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Basel 2009 |
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