1 example from real videos — listen, replay, loop.
Polar Bear is feeling better about his reality; the metric tensor gave him the real world lengths of his basis vectors and the real world value of their adjoining angle, and now the Levi-Civita connection gave him the real world orientation of these basis vectors. Indeed,
Conceptualizing the Christoffel Symbols: An Adventure in Curvilinear Coordinates
Polar Bear is feeling better about his reality; the metric tensor gave him the real world lengths of his basis vectors and the real world value of their adjoining angle, and now the Levi-Civita connection gave him the real world orientation of these basis vectors. Indeed,
Conceptualizing the Christoffel Symbols: An Adventure in Curvilinear Coordinates