Leading Terms in the Heat Invariants

DOI10.2307/2048006zbMath0723.47041OpenAlexW4256018917MaRDI QIDQ3210422

Peter B. Gilkey, Thomas P. Branson, Bent Orsted

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048006

zbMATH Keywords

second-order differential operatorcompact Riemannian manifoldmetric tensorasymptotics of the spectrumasymptotics of the heat kernelfiltration by degreehomogeneous, invariant, local formulasisospectral sets of metrics modulo gauge equivalence

Mathematics Subject Classification ID

General theory of partial differential operators (47F05)

Related Items

Asymptotics of relative heat traces and determinants on open surfaces of finite area, Semigroup asymptotics, the Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian, Heat kernel expansions, ambient metrics and conformal invariants, Functional determinant of Laplacian on Cayley projective plane \(\mathbf{P}^{2}(\text{Cay})\), Heat kernel expansion: user's manual, Renormalization of the asymptotically expanded Yang-Mills spectral action, Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review, Residues of the eta function for an operator of Dirac type, Heat kernel expansion in the covariant perturbation theory, Growth of heat trace and heat content asymptotic coefficients, Sharp Inequalities, the Functional Determinant, and the Complementary Series, Generalised heat coefficients and associated spectral zeta functions on complex projective spaces Pⁿ(ℂ), Heat invariants of Riemannian manifolds

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