Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces

DOI10.1080/03605302.2012.721853zbMath1284.53060arXiv0909.0807OpenAlexW3098642598MaRDI QIDQ2841166

Frédéric Rochon, Clara L. Aldana, Pierre Albin

Publication date: 24 July 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0807

zbMATH Keywords

Ricci flowdeterminant of the LaplacianPolyakov formularenormalized traces

Mathematics Subject Classification ID

Related Items (14)

Renormalized volume and the evolution of apes ⋮ A Polyakov formula for sectors ⋮ Asymptotics of relative heat traces and determinants on open surfaces of finite area ⋮ Uniformization of Riemann surfaces revisited ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Maximal determinants of Schrödinger operators on bounded intervals ⋮ Polyhomogénéité des métriques asymptotiquement hyperboliques complexes le long du flot de Ricci ⋮ Polyhomogeneity of metrics compatible with a Lie structure at Infinity along the Ricci flow ⋮ Inverse scattering results for manifolds hyperbolic near infinity ⋮ Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds ⋮ Uniformization of compact foliated spaces by surfaces of hyperbolic type via the Ricci flow ⋮ Resolvent, heat kernel, and torsion under degeneration to fibered cusps ⋮ Uniqueness of instantaneously complete Ricci flows ⋮ Compactness of relatively isospectral sets of surfaces via conformal surgeries

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