How to know if a particular DW project is using Kimball methodology
As I'm only familiar with Kimball approach and my Inmon book gathers dusk, unopened and unloved, I'm going to cite this article which indicates the difference between a Kimball model for a slowly changed dimension and an Inmon would be the design. 


  The common way to track changes in an Inmon or 3rd Normal Form data warehouse is to use the Natural/Business Key combined with a start and end date


The Kimball approach would be to use a surrogate key instead of the natural/business keys.