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The trace of the heat kernel on a compact hyperbolic 3-orbifold (1994)

Cognola, Guido ; Vanzo, Luciano

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 35 (1994), S. 3109-3116

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The heat coefficients related to the Laplace–Beltrami operator defined on the hyperbolic compact manifold H3/Γ are evaluated in the case in which the discrete group Γ 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530456

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