On the Heat Kernel of the Bergmann Metric on Algebraic Varieties

DOI10.2307/2152831zbMath0864.58058OpenAlexW4246961464MaRDI QIDQ4874224

Tian, Gang, Peter Li

Publication date: 6 July 1997

Full work available at URL: https://doi.org/10.2307/2152831

zbMATH Keywords

Laplaciancomplex projective spacealgebraic varietyFubini-Study metricBergmann metric

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Spectral theory; eigenvalue problems on manifolds (58C40)

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Cites Work

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• The heat trace on singular algebraic threefolds
• On the parabolic kernel of the Schrödinger operator
• On the heat operators of normal singular algebraic surfaces
• Eigenvalue estimates on homogeneous manifolds
• Spectra of domains in compact manifolds
• The Laplacian on algebraic threefolds with isolated singularities
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Heat Equations on Minimal Submanifolds and Their Applications
• A lower bound for the heat kernel
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• The Harmonic Operator for Exterior Differential Forms

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