Recently, inspired by the phenomenon of frame dragging of spacetime around rotating massive bodies, I became curious on how to characterise how much a surface locally twists
For example, in this photo, the whole surface of the towel is twisted around a point at the white stick
It seems curvature tensor alone is insufficient to describe the twisting behaviour in the neighbourhood of the point. What else can be used to further characterise points like these?
Also I like to know about the characterisation of these twisting points in general, thus I am not limited to lorentzian or riemannian spaces