Heat Content, Heat Trace, and Isospectrality

zbMath1208.58030arXiv0802.2948MaRDI QIDQ3181823

Peter B. Gilkey

Publication date: 12 October 2009

Full work available at URL: https://arxiv.org/abs/0802.2948

zbMATH Keywords

local invariantsisospectralitywarped productsheat contentheat traceasymptotic invariantsfinite coverings

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Isospectrality (58J53)

Related Items (4)

Torsional rigidity, isospectrality and quantum graphs ⋮ Heat content determines planar triangles ⋮ Exit times, moment problems and comparison theorems ⋮ Heat content and horizontal mean curvature on the Heisenberg group

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