Conformal Differential Geometry

Name: Conformal Differential Geometry
Brand: Birkhauser Verlag AG
SKU: 9783764399085
Price: 29.47 EUR
Availability: InStock

Q-Curvature and Conformal Holonomy

Autor: Helga Baum, Andreas Juhl

Jazyk:

Väzba: Brožovaná

Vydavateľ: Birkhauser Verlag AG

Dostupnosť: Skladom u dodávateľa

Odosielame za 5-8 dní

29.47 €

Conformal invariants (conformally invariant tensors, conformally covariant differential operators, c...

Informácie o knihe

Autor

Helga Baum, Andreas Juhl

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

152

EAN

9783764399085

ISBN

3764399082

Enbook ID

01717191

Vydavateľ

Birkhauser Verlag AG

Hmotnosť

334

Rozmery

239 x 170 x 16

Kompletný popis

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 conformally covariant operators are the Yamabe, the Paneitz, the Dirac and the twistor operator. These operators are intimely connected with the notion of Branson s Q-curvature. The aim of these lectures is to present the basic ideas and some of the recent developments around Q -curvature and conformal holonomy. §The part on Q -curvature starts with a discussion of its origins and its relevance in geometry and spectral theory. The following lectures describe the fundamental relation between Q -curvature and scattering theory on asymptotically hyperbolic manifolds. Building on this, they introduce the recent concept of Q -curvature polynomials and use these to reveal the recursive structure of Q -curvatures. §The part on conformal holonomy starts with an introduction to Cartan connections and its holonomy groups. Then we define holonomy groups of conformal manifolds, discuss its relation to Einstein metrics and recent classification results in Riemannian and Lorentzian signature. In particular, we explain the connection between conformal holonomy and conformal Killing forms and spinors, and describe Fefferman metrics in CR geometry as Lorentzian manifold with conformal holonomy SU(1,m).

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Conformal Differential Geometry

Q-Curvature and Conformal Holonomy

Informácie o knihe

Kompletný popis

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