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

Spyros Alexakis

Abstract

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? This ... More

Keywords: differential geometry, conformal anomalies, conformally invariant functionals, Riemannian metrics, manifold, Riemannian scalar, theoretical physics, conformal invariants, Riemannian invariants, global invariants

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780691153476
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691153476.001.0001

Authors

Affiliations are at time of print publication.

Spyros Alexakis, author
University of Toronto