On the Lower Order Terms of the Asymptotic Expansion of Zelditch

Details On the Lower Order Terms of the Asymptotic Expansion of Zelditch On the Lower Order Terms of the Asymptotic Expansion of Zelditch

1998-11-21

arxiv.org/abs/math/9811126v2

Amer. J. Math, vol 122(2), 2000, pp 235-273

Mathematics

Differential Geometry

34 pages

Scientific paper

In this paper, we computed the first three coefficients of the asymptotic
expansion of Zelditch. We also proved that in general, the $k$-th coefficient
is a polynomial of the curvature and its derivative of weight $k$.

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