- #1
chaotixmonjuish
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This is probably falls within a problem of Mathematica as opposed to a question on here but I have a question about the following:
Given some cylinder with the shape operator matrix:
{{0,0},{0,-1/r}}
We get eigenvalues 0 and -1/r and thus eigenvectors {0, -1/r} and {1/r, 0} by my computations.
However we know that the principal directions are {{1},{0}} and {{0},{1}} <= (Computations on Mathematica)
This question, I guess, is an intersection of differential geometry and Linear Algebra.
Given some cylinder with the shape operator matrix:
{{0,0},{0,-1/r}}
We get eigenvalues 0 and -1/r and thus eigenvectors {0, -1/r} and {1/r, 0} by my computations.
However we know that the principal directions are {{1},{0}} and {{0},{1}} <= (Computations on Mathematica)
This question, I guess, is an intersection of differential geometry and Linear Algebra.