Heat trace expansion on manifolds with conic singularities
classification
🧮 math.SP
math.APmath.DG
keywords
expansionconicheatmanifoldssingularitiestraceasymptoticasymptotics
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We derive a detailed asymptotic expansion of the heat trace for the Laplace-Beltrami operator on functions on manifolds with conic singularities, using the Singular Asymptotics Lemma of Jochen Bruening and Robert T. Seeley [BS]. In the subsequent paper we investigate how the terms in the expansion reflect the geometry of the manifold.
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