Frederic Schuller Lecture Notes Pdf May 2026

"Curvature is the failure of second covariant derivatives to commute," the notes stated. "It is not a property of a path. It is a property of the manifold itself."

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She almost closed it. But then she read the first line of the first lecture: "We will not start with physics. We will start with logic and sets. If you do not know what a set is, you are in the wrong room." "Curvature is the failure of second covariant derivatives