The zeta functional determinants on manifolds with boundary. II: Extremal metrics and compactness of isospectral set

DOI10.1006/jfan.1996.3060zbMath0914.58040OpenAlexW4248934464MaRDI QIDQ1363571

Jie Qing, Sun Yung Alice Chang

Publication date: 6 June 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3060

zbMATH Keywords

comparison theoremsconformal geometryfunctional determinant

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52)

Related Items

Prescribing \(Q\)-curvature problem on \(S^n\) ⋮ On conformally compact Einstein manifolds ⋮ The zeta functional determinants on manifolds with boundary. I: The formula ⋮ Compactness of conformally compact Einstein 4-manifolds. II ⋮ Bulk-boundary eigenvalues for bilaplacian problems ⋮ Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere ⋮ \(Q\)-curvature flow on 4-manifolds with boundary ⋮ Extremal metrics for spectral functions of Dirac operators in even and odd dimensions ⋮ Classification of Solutions of a Conformally Invariant Third Order Equation in ℝ³ ⋮ Concentration phenomena for the fractional Q‐curvature equation in dimension 3 and fractional Poisson formulas ⋮ Algebraic topological methods for the supercritical \(Q\)-curvature problem ⋮ Sharp inequalities for functional integrals and traces of conformally invariant operators. ⋮ Compactness of relatively isospectral sets of surfaces via conformal surgeries

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