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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 4 scientific papers (total in 4 papers)

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

Thomas P. Branson

Deceased
Full-text PDF (387 kB) Citations (4)
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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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\by Thomas P.~Branson
\paper $Q$-Curvature, Spectral Invariants, and Representation Theory
\jour SIGMA
\yr 2007
\vol 3
\papernumber 090
\totalpages 31
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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