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The a 3/2 heat kernel coefficient for oblique boundary conditions

1998/06/19 by J. S. Dowker, Klaus Kirsten, K. Kirsten · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Numerical methods in inverse problems #hep-th

paper · pdf · doi:10.1088/0264-9381/16/6/322

published as Class.Quant.Grav. 16 (1999) 1917-1936 · 30 pages, LaTeX

arxiv created 1998/06/19 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We present a method for the calculation of the a 3/2 heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with oblique boundary conditions. Using special case evaluations, restrictions are put on the general form of the coefficients, which, supplemented by conformal transformation techniques, allows the entire smeared coefficient to be determined.

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