Coverart for item
The Resource Conformal differential geometry : Q-curvature and conformal holonomy, Helga Baum, Andreas Juhl

Conformal differential geometry : Q-curvature and conformal holonomy, Helga Baum, Andreas Juhl

Label
Conformal differential geometry : Q-curvature and conformal holonomy
Title
Conformal differential geometry
Title remainder
Q-curvature and conformal holonomy
Statement of responsibility
Helga Baum, Andreas Juhl
Creator
Contributor
Subject
Genre
Language
eng
Summary
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)
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1954-
http://library.link/vocab/creatorName
Baum, Helga
Dewey number
516.35
Index
index present
LC call number
QA609
LC item number
.B38 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1955-
http://library.link/vocab/relatedWorkOrContributorName
Juhl, Andreas
Series statement
Oberwolfach seminars
Series volume
40
http://library.link/vocab/subjectName
  • Conformal geometry
  • Geometry, Differential
  • Conformal geometry
  • Geometry, Differential
  • Konforme Differentialgeometrie
Label
Conformal differential geometry : Q-curvature and conformal holonomy, Helga Baum, Andreas Juhl
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 139-147) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Q-curvature -- Conformal holonomy
Control code
701719326
Dimensions
unknown
Extent
1 online resource (x, 152 pages).
Form of item
online
Isbn
9783764399092
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-9909-2.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-9908-5
Publisher number
12226467
Specific material designation
remote
System control number
(OCoLC)701719326
Label
Conformal differential geometry : Q-curvature and conformal holonomy, Helga Baum, Andreas Juhl
Publication
Bibliography note
Includes bibliographical references (pages 139-147) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Q-curvature -- Conformal holonomy
Control code
701719326
Dimensions
unknown
Extent
1 online resource (x, 152 pages).
Form of item
online
Isbn
9783764399092
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-9909-2.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-9908-5
Publisher number
12226467
Specific material designation
remote
System control number
(OCoLC)701719326

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