A Laplace integral on a Kaehler manifold and Calabi's diastasis function

LOI, ANDREA

2005-01-01

---

Abstract

In this paper we give a different proof of Engliš’s result [J. Reine Angew. Math. 528 (2000) 1–39] about the asymptotic expansion of a Laplace integral on a real analytic Kähler manifold (M,g) by using the link between the metric g and the associated Calabi’s diastasis function D. We also make explicit the connection between the coefficients of Engliš’ expansion and Gray’s invariants [Michigan Math. J. (1973) 329–344].