Compactness of isospectral conformal metrics and isospectral potentials on a 4-manifold

DOI10.1215/S0012-7094-96-08404-5zbMath0856.53032OpenAlexW1966266154MaRDI QIDQ1922421

Xingwang Xu, Roger Chen

Publication date: 24 February 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08404-5

zbMATH Keywords

conformal classisospectral potentialisospectral metricRiemannian four-manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items

Bubble tree convergence for conformal metrics with \(\int_M | R |^{\frac{n}{2}}\, d V_g\) bounds ⋮ On isospectral compactness in conformal class for 4-manifolds ⋮ Compactness of relatively isospectral sets of surfaces via conformal surgeries

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