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Here the Kahler form a, cf. (2.24), is viewed as a (1, I)-form. Moreover, the integrand in 0.3) is equal to a universal constant times the Laplacian applied to (3.l), plus terms involving at most second order derivatives of the metric. This follows from the formulas for E2 and E4 of Gilkey [30, p. 610], using that, in the computation of the supertrace, the linear contributions of the scalar curvature drop out. So the integrand in (1.3) involves fourth order derivatives of a.
KeywordsClifford Algebra Principal Symbol Leibniz Rule Exterior Algebra Unitary Frame
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