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= ((R+ Exercise 3. Show that the Shape operator S for the torus X r cos u) cos v, (R + r cos u) sin v, r sin u) in the basis X, X, is the matrix below, 5 - (+ S 0 - cos u R+r cos u

= ((R+ Exercise 3. Show that the Shape operator S for the torus X r cos u) cos v, (R + r cos u) sin v, r sin u) in the basis X, X, is the matrix below, 5 - (+ S 0 - cos u R+r cos u

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 3. Show that the Shape operator S for the torus X = ((R+ r cos u) cos v, (R+ r cos u) sin v, r sin u) in the basis Xu, X, is the matrix below, S = r 0 - cos u R+r cos u
Transcribed Image Text:Exercise 3. Show that the Shape operator S for the torus X = ((R+ r cos u) cos v, (R+ r cos u) sin v, r sin u) in the basis Xu, X, is the matrix below, S = r 0 - cos u R+r cos u
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