To create "depth map" shadows [fake shadows], attach an mtorDirectionalLight
Slim appearance to a Maya directionalLight..
Here we layer a reflection on to a base material, by using an 'AdditiveFX' layering shader. For the reflection layer, use a 'Reflection_Map' Slim appearance.
Note - in the 'Render Stats' section of the AE of your flat object that'll receive the reflection, you need to check off the button that says 'Visible in Reflections' - otherwise you will not see anything reflected on the flat object!