Video on tetrad postulate of ECE theory

The Russian student Ilja Bondarenko has produced a video on the tetrad postulate of ECE theory:

He used the tool Manim. A tutorial about how this Python library works can be found in

With this video, Ilja participated in a competition: the Summer of Math Exposition:

According to the mathematical orientation of the competition, mathematical subjects have to be handled. Therefore, he choose the tetrad postulate as a key statement of Cartan geometry. Initially he had to introduce the background of a unified field theory like ECE. Then he explained the postulate (which is not really a “postulate” but a lemma, as we know) in animated formulas. He did great. Please watch the video for yourself.

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