عنوان

Conformal differential geometry :

شابک

3764399090

شابک

9783764399092

شابک اشتباه

3764399082

شابک اشتباه

9783764399085

شماره

b736982

شماره ناشر

12226467

عنوان اصلي

Conformal differential geometry :

نام عام مواد

[Book]

ساير اطلاعات عنواني

Q-curvature and conformal holonomy /

نام نخستين پديدآور

Helga Baum, Andreas Juhl.

محل نشرو پخش و غیره

Boston :

نام ناشر، پخش کننده و غيره

Birkhäuser,

تاریخ نشرو بخش و غیره

2010.

نام خاص و کميت اثر

1 online resource (x, 152 pages)

عنوان فروست

Oberwolfach seminars ;

مشخصه جلد

40

متن يادداشت

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

متن يادداشت

Q-curvature -- Conformal holonomy.

بدون عنوان

0

متن يادداشت

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).

منبع سفارش / آدرس اشتراک

Springer

شماره انبار

978-3-7643-9908-5

عنوان

Conformal differential geometry.

شماره استاندارد بين المللي کتاب و موسيقي

9783764399085

موضوع مستند نشده

Conformal geometry.

موضوع مستند نشده

Geometry, Differential.

موضوع مستند نشده

Conformal geometry.

موضوع مستند نشده

Geometry, Differential.

موضوع مستند نشده

Konforme Differentialgeometrie

موضوع مستند نشده

MAT012030.

موضوع مستند نشده

PBMP.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Baum, Helga,1954-

مستند نام اشخاص تاييد نشده

Juhl, Andreas,1955-

تاريخ عمليات

20201203211535.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y