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- gaussian and mean curvatures 1 answer
I need help with this differential geometry problem dealing with Gaussian curvature and mean curvature
Given an ellipsoid with parametric representation $(a\cos u\cos v, b\cos u \sin v, c\sin u)$ compute its Gaussian curvature and mean curvature.
(Hint: Compute $E,F,G$ first and $L, M, N$ second then Weingarten map (Shape operator). The Gaussian curvature and the mean curvature are the determinant and the trace of the Weingarten map (Shape operator).