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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 090, 31 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.090 (Mi sigma216) 		 
This article is cited in 5 scientific papers (total in 5 papers)

$Q$-Curvature, Spectral Invariants, and Representation Theory

Thomas P. Branson

Deceased
Full-text PDF (387 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2007.090
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
Bibliographic databases:
Document Type: Article
MSC: 58J52; 53A30
Language: English
Citation: Thomas P. Branson, “$Q$-Curvature, Spectral Invariants, and Representation Theory”, SIGMA, 3 (2007), 090, 31 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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