The Decomposition of Global Conformal Invariants (AM-182) /

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. Thes...

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Detalles Bibliográficos
Autor principal: Alexakis, Spyros, 1978-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2012.
Colección:Book collections on Project MUSE.
Temas:
Decomposition (Mathematics)
Conformal invariants.
MATHEMATICS > Geometry > Differential.
MATHEMATICS > Numerical Analysis.
Decomposition (Mathematiques)
Invariants conformes.
Electronic book.
Electronic books.
Acceso en línea:Texto completo
Descripción
Sumario: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?
Descripción Física:1 online resource.
ISBN:9781400842728

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