Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-04
J.Math.Phys.35:3109-3116,1994
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
10.1063/1.530456
The heat coefficients related to the Laplace-Beltrami operator defined on the hyperbolic compact manifold $H^3/\Ga$ are evaluated in the case in which the discrete group $\Ga$ contains elliptic and hyperbolic elements. It is shown that while hyperbolic elements give only exponentially vanishing corrections to the trace of the heat kernel, elliptic elements modify all coefficients of the asymptotic expansion, but the Weyl term, which remains unchanged. Some physical consequences are briefly discussed in the examples.
Cognola Guido
Vanzo Luciano
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