I'll try to be updating this page as much as possible to include very very cool mathematical formulations or proofs of already very cool physics concepts! Do contact me in case you know something that falls in this category!

• A two-dimensional surface of constant negative curvature cannot be constructed in a three dimensional Euclidean space [ref: Hilbert proved this. A space with constant curvature is the one where the curvature is homogeneous and isotropic].