Elliptic operators and covers of Riemannian manifolds

DOI10.1007/PL00004562zbMath0871.58075OpenAlexW4255117530WikidataQ115390594 ScholiaQ115390594MaRDI QIDQ5961428

Harold Donnelly

Publication date: 20 February 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174921

zbMATH Keywords

Riemann surfaceelliptic operatorslimits of Riemannian metrics

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (7)

Holomorphic line bundles over a tower of coverings ⋮ Bounds on Faltings's delta function through covers ⋮ A tower of coverings of quasi-projective varieties ⋮ Effective estimates on the very ampleness of the canonical line bundle of locally Hermitian symmetric spaces ⋮ Szegő kernels and Poincaré series ⋮ Limits of canonical forms on towers of Riemann surfaces ⋮ Effective very ampleness of the canonical line bundles on ball quotients

Cites Work

• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• Sequences of metrics on compact Riemann surfaces
• On the Spectrum of Towers
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