Estimates of invariant metrics on pseudoconvex domains near boundaries with constant Levi ranks

Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given.Comment: 12 pages. This is a write-up of Chapter IV of the author's Ph.D. thesis with a remark added to explain why a solution to an open problem in a recent survey of Ohsawa is a consequence of a theorem therei