Proof of the Symmetry of the Off-Diagonal Heat-Kernel and Hadamard's Expansion Coefficients in General C∞ Riemannian Manifolds

@article{Moretti1999ProofOT,
title={Proof of the Symmetry of the Off-Diagonal Heat-Kernel and Hadamard's Expansion Coefficients in General C∞ Riemannian Manifolds},
author={Valter Moretti},
journal={Communications in Mathematical Physics},
year={1999},
volume={208},
pages={283-308}
}
• Valter Moretti
• Published 1999
• Mathematics, Physics
• Communications in Mathematical Physics
Abstract:We consider the problem of the symmetry of the off-diagonal heat-kernel coefficients as well as the coefficients corresponding to the short-distance-divergent part of the Hadamard expansion in general smooth (analytic or not) manifolds. The requirement of such a symmetry played a central rôle in the theory of the point-splitting one-loop renormalization of the stress tensor in either Riemannian or Lorentzian manifolds. Actually, the symmetry of these coefficients has been assumed as a… Expand
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