Title: Complex Monge-Ampere equation, Grauert tube and applications.
Abstract: Grauert tube arises in the study of complexification
of a Riemannian manifold. It also arises in the study of the complex
Monge-Ampere equation. Here I explain an application of the
results/theory of Lempert and Szöke and their relevance to
Riemannian curvature and volume element estimates.