This is a great publication by USGS on landslides. Perhaps it will help you, but large 40MB in size. The increases in slope and loosening or fracturing of materials generated by slow uplifting are definitely correlated mechanisms, contributory, but not necessarily the cause of failure. Especially in my past, I have read many papers on landslides, and remember slope being one of the contributory factors, but do not remember any that concentrated on the actual geologic uplifting process, timing and slope failure.
There is a number of papers from Taiwan about landslides after the Chi-chi earthquake in 1999, which induced an increase of slides in the following years.
As a geomorphologist I would say in general that an relatively high uplift rate provokes erosion, including landslides as one of the erosional processes