Einstein tried to describe gravity as a kind of a four dimensional differential geometry thing. There is no way to start with that and believe that gravity ever could have changed three or four to one near the surface of our own planet but it’s an easy demonstration that it has. The largest dinosaurs would be crushed by their own weight in our present gravity.
I took courses on both differential geometry and relativity, and I am confused by your statement. Relativity is just one application of differential geometry, and I can assure you that Einstein was correct, gravity is a result of the space-time geometry that we live in.