Q-Curvature, Spectral Invariants, and Representation Theory
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS(2007)
摘要
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.
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关键词
conformal differential geometry,functional determinant,conformal index
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