9.0%OFF
Download App
| >> | LShop | >> | Book | >> | Mathematics & Scienc... | >> | Mathematics | >> | The Decomposition Of... |
9.0%OFF
The Decomposition of Global Conformal Invariants (AM-182) (Annals of Mathematics Studies)
-
ISBN
:
9780691153483
-
Publisher
:
Princeton University Press
-
Subject
:
Mathematics
-
Binding
:
PAPERBACK
-
Pages
:
464
-
Year
:
2012
₹
11823.0
9.0% OFF
₹
10758.0
10758.0
Buy Now
Shipping charges are applicable for books below Rs. 101.0
View Details(Imported Edition) Estimated Shipping Time : 25-28 Business Days
View Details
-
Description
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of Riemannian metrics over a given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the manifold. Suppose this integral remains invariant under conformal re-scalings of the underlying metric. What information can one then deduce about the Riemannian scalar? Deser and Schwimmer asserted that the Riemannian scalar must be a linear combination of three obvious candidates, each of which clearly satisfies the required property: a local conformal invariant, a divergence of a Riemannian vector field, and the Chern-Gauss-Bonnet integrand. This book provides a proof of this conjecture. The result itself sheds light on the algebraic structure of conformal anomalies, which appear in many settings in theoretical physics. It also clarifies the geometric significance of the renormalized volume of asymptotically hyperbolic Einstein manifolds. The methods introduced here make an interesting connection between algebraic properties of local invariants--such as the classical Riemannian invariants and the more recently studied conformal invariants--and the study of global invariants, in this case conformally invariant integrals. Key tools used to establish this connection include the Fefferman-Graham ambient metric and the author's super divergence formula.
Related Items
-
of
-
OFFER
ConformalGroups in Geometry and Spin Structures (Progress in Mathematical Physics)
Pierre Anglýs
Starts At
13920.0
14500.0
4% OFF
-
OFFER
Riemannian Metrics of Constant Mass and Moduli Spaces ofConformal Structures (Lecture Notes in Mathematics)
Lutz Habermann
Starts At
4090.0
4261.0
4% OFF
-
OFFER
Conformal Representation (Dover Books on Mathematics)
C. Caratheodory
Starts At
613.0
840.0
27% OFF
-
OFFER
Conformal Mapping: Methods and Applications (Dover Books on Mathematics)
Roland Schinzinger
Starts At
4400.0
4836.0
9% OFF
-
OFFER
Conformal Mapping on Riemann Surfaces (Dover Books on Mathematics)
Harvey Cohn
Starts At
1009.0
1402.0
28% OFF
-
OFFER
Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces (Dover Books on Mathematics)
Richard Courant
Starts At
1584.0
1650.0
4% OFF
-
OFFER
Handbook of Conformal Mapping with Computer Aided Visualization
Valentin I. Ivanov
Starts At
36482.0
40091.0
9% OFF
-
OFFER
Digital Sound Synthesis by Physical Modeling Using the Functional TransformationMethod
Lutz Trautmann
Starts At
14738.0
15353.0
4% OFF
-
OFFER
Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics)
Maks A. Akivis
Starts At
6960.0
7250.0
4% OFF
-
OFFER
Geometry, Fields and Cosmology: Techniques and Applications (Fundamental Theories of Physics)
B.R. Iyer
Starts At
31116.0
32413.0
4% OFF
-
OFFER
Metric Structures for Riemannian and Non-Riemannian Spaces (Progress in Mathematics, Vol. 152)
Mikhail Gromov
Starts At
13551.0
15758.0
14% OFF
-
OFFER
Statistics and Analysis of Shapes (Modeling and Simulation in Science, Engineering and Technology)
Hamid Krim
Starts At
8926.0
9298.0
4% OFF
-
OFFER
Discriminants, Resultants, and Multidimensional Determinants (Modern Birkhýuser Classics)
Israel M. Gelfand
Starts At
5821.0
6397.0
9% OFF
-
OFFER
Information Geometry: Near Randomness and Near Independence (Lecture Notes in Mathematics)
Khadiga Arwini
Starts At
4912.0
5117.0
4% OFF
-
OFFER
Optimal Transport: Old and New (Grundlehren der mathematischen Wissenschaften)
Cýdric Villani
Starts At
13101.0
13647.0
4% OFF
-
OFFER
Generalized Curvatures (Geometry and Computing, Vol. 2)
Jean-Marie Morvan
Starts At
11463.0
11941.0
4% OFF
-
OFFER
Global Aspects of Classical Integrable Systems
Richard H. Cushman
Starts At
7259.0
8441.0
14% OFF
