Correction to: A Polyakov Formula for Sectors (The Journal of Geometric Analysis, (2018), 28, 2, (1773-1839), 10.1007/s12220-017-9888-y)

• Let ?? denote a finite circular sector of opening angle ?∈(0,?) and radius one, and let ?−?Δ? denote the heat operator associated to the Dirichlet extension of the Laplacian. Based on recent joint work [2] and [3], we discovered an extra contribution to the variational Polyakov formula in [1] coming from the curved boundary component of the sector. Theorems 3 and 4 of [1] should have an added term +14?. This calculation will appear in [2]. The corrected statements of these theorems are given below.

Subject headings

NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

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