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This article is cited in 4 scientific papers (total in 4 papers)
$Q$-Curvature, Spectral Invariants, and Representation Theory
Thomas P. Branson Deceased
Abstract:
We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to the $Q$-curvature on even-dimensional conformal manifolds. The exposition is self-contained, in the sense of giving references sufficient to allow the reader to work through all details.
Keywords:
conformal differential geometry; functional determinant; conformal index.
Received: August 1, 2007; Published online September 16, 2007
Citation:
Thomas P. Branson, “$Q$-Curvature, Spectral Invariants, and Representation Theory”, SIGMA, 3 (2007), 090, 31 pp.
Linking options:
https://www.mathnet.ru/eng/sigma216 https://www.mathnet.ru/eng/sigma/v3/p90
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Abstract page: | 181 | Full-text PDF : | 44 | References: | 31 |
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