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001			309551
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008			150903s2009 sz | o |||| 0|eng d
020			_a9783764399009 _99783764399009
024	7		_a10.1007/9783764399009 _2doi
035			_avtls000363017
039		9	_a201509030651 _bVLOAD _c201405070338 _dVLOAD _y201402211137 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA641-670
100	1		_aJuhl, Andreas. _eautor _9349847
245	1	0	_aFamilies of Conformally Covariant Differential Operators, Q-Curvature and Holography / _cby Andreas Juhl.
264		1	_aBasel : _bBirkhäuser Basel, _c2009.
300			_axiii, 488 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aProgress in Mathematics ; _v275
500			_aSpringer eBooks
505	0		_aSpaces, Actions, Representations and Curvature -- Conformally Covariant Powers of the Laplacian, Q-curvature and Scattering Theory -- Paneitz Operator and Paneitz Curvature -- Intertwining Families -- Conformally Covariant Families.
520			_aThe 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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764398996
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-9900-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c309551 _d309551