Heat equation asymptotics of ‘‘nonminimal’’ operators on differential forms

DOI10.1063/1.529179zbMath0778.58062OpenAlexW2011756322WikidataQ115331559 ScholiaQ115331559MaRDI QIDQ3987335

Stephen A. Fulling, Peter B. Gilkey, Thomas P. Branson

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529179

zbMATH Keywords

heat equationasymptotic expansionkernel

Mathematics Subject Classification ID

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

Related Items (10)

Heat trace for Laplace type operators with non-scalar symbols ⋮ Nonminimal de Rham-Hodge operators and non-commutative residue ⋮ Asymptotic behaviors of the heat kernel in covariant perturbation theory ⋮ Effective actions in supersymmetric gauge theories: heat kernels for non-minimal operators ⋮ Heat kernel expansion: user's manual ⋮ Asymptotics of the heat kernel for nonminimal differential operators ⋮ HEAT KERNEL ASYMPTOTICS OF OPERATORS WITH NON-LAPLACE PRINCIPAL PART ⋮ Remarks on effective action and entanglement entropy of Maxwell field in generic gauge ⋮ Heat kernel for nonminimal operators on a Kähler manifold ⋮ Nonminimal operators and non-commutative residue

Cites Work

• Gauge Dependence of the Grabvitational Conformal Anomaly for the Electromagnetic Field
• Conformally convariant equations on differential forms
• b ₈ 'Hamidew' coefficient for a scalar field
• Asymptotic solutions of an elliptic equation system on a Riemannian manifold concentrated in the vicinity of a phase trajectory

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