1998•Classical and Quantum GravityOpen access

The heat kernel coefficient on a manifold with boundary

Klaus Kirsten

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Abstract

We present the calculation of the heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with Dirichlet and Robin boundary conditions.

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What this paper is about

We present the calculation of the heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with Dirichlet and Robin boundary conditions.

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OpenAlex reports 42 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We present the calculation of the heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with Dirichlet and Robin boundary conditions.

Key concepts: Heat kernel, Physics, Riemannian manifold, Laplace operator, Mathematical analysis, Laplace–Beltrami operator, Dirichlet boundary condition, Operator (biology)

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