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
25 Citations
Strong short-time asymptotics and convolution approximation of the heat kernel
Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction
The Semiclassical Einstein Equation on Cosmological Spacetimes
...
1
2
3
...

References

SHOWING 1-10 OF 36 REFERENCES
...
1
2
3
4
...