Growth of heat trace coefficients for locally symmetric spaces

DOI10.1063/1.4751279zbMath1283.58014arXiv1109.6228OpenAlexW3104234819MaRDI QIDQ2872321

Peter B. Gilkey, Roberto J. Miatello

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1109.6228

zbMATH Keywords

locally symmetric spacesasymptotic behavior of the heat trace coefficients

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Neumann heat content asymptotics with singular initial temperature and singular specific heat

Cites Work

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• Heat kernel on homogeneous bundles over symmetric spaces
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• Combinatorics of the Heat Trace on Spheres
• High orders of the Weyl expansion for quantum billiards: resurgence of periodic orbits, and the Stokes phenomenon
• Heat Kernel and Quantum Gravity
• High orders of Weyl series for the heat content

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