HEAT KERNEL ASYMPTOTICS OF OPERATORS WITH NON-LAPLACE PRINCIPAL PART

DOI10.1142/S0129055X01000892zbMath1031.58015arXivmath-ph/9905001OpenAlexW3102610528WikidataQ62399364 ScholiaQ62399364MaRDI QIDQ4418300

Ivan G. Avramidi, Thomas P. Branson

Publication date: 7 August 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/9905001

zbMATH Keywords

heat-kernel asymptoticsdifferential operators on compact Riemannian manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat equation (35K05) General theory of partial differential operators (47F05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

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Cites Work

• Gauge theories on manifolds with boundary
• Heat equation asymptotics of ‘‘nonminimal’’ operators on differential forms
• Green functions of higher-order differential operators
• COVARIANT TECHNIQUES FOR COMPUTATION OF THE HEAT KERNEL
• Heat kernel for nonminimal operators on a Kähler manifold
• Heat Equation Asymptotics of Elliptic Operators with Non-scalar Leading Symbol