Differential Geometry in Physics James T. Lamiell Thurston put his geometrization program

Thurston put his geometrization program for 3-manifolds in this context

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Differential Geometry in Physics James T. Lamiell Thurston put his geometrization programDifferential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The material is intended to help bridge the gap that often exists between theoretical physics and applied mathematics. The approach is to carve an optimal path to learning this challenging field by appealing to the much more accessible theory of curves and surfaces. The transition from classical