عنوان

Conformal differential geometry :

(Number (ISBN

3764399090

(Number (ISBN

9783764399092

Erroneous ISBN

3764399082

Erroneous ISBN

9783764399085

Number

b736982

Publisher's Number

12226467

Title Proper

Conformal differential geometry :

General Material Designation

[Book]

Other Title Information

Q-curvature and conformal holonomy /

First Statement of Responsibility

Helga Baum, Andreas Juhl.

Place of Publication, Distribution, etc.

Boston :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2010.

Specific Material Designation and Extent of Item

1 online resource (x, 152 pages)

Series Title

Oberwolfach seminars ;

Volume Designation

40

Text of Note

Includes bibliographical references (pages 139-147) and index.

Text of Note

Q-curvature -- Conformal holonomy.

0

Text of Note

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).

Source for Acquisition/Subscription Address

Springer

Stock Number

978-3-7643-9908-5

Title

Conformal differential geometry.

International Standard Book Number

9783764399085

Conformal geometry.

Geometry, Differential.

Conformal geometry.

Geometry, Differential.

Konforme Differentialgeometrie

MAT012030.

PBMP.

Number

Edition

Class number

Book number

Baum, Helga,1954-

Juhl, Andreas,1955-

Date of Transaction

20201203211535.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y