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Mathematical discipline which studies some properties of smooth manifolds, which allow to generalize calculus to beyond $\mathbb{R}^n$. General relativity is written in this language.

2 votes
0 answers
102 views

Help understanding Gauss' and Stoke's Theorem in Minkowski space in index notation

My professor said that it's easy to generalize to these definitions of Stoke's and Gauss' theorem from the 3 dimensional versions but didn't say much else. He threw the following on the chalk board: $ …
DingleGlop's user avatar
7 votes
2 answers
689 views

What's the relevance of geometric rigidity/flexibility to physics?

I'm currently working on a mathematics research problem in differential geometry that deals with the rigidity of closed manifolds described by non-trivial induced metrics. I'm curious what the implica …
DingleGlop's user avatar