Question
Suppose that in a coordinate patch x: U M the Weingarten map satisfies L = fI where f : U R and I
Suppose that in a coordinate patch x: U → M the Weingarten map satisfies L = fI where f : U → R and I is the identity linear transformation. Prove that f is a constant in a neighborhood of each point.
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Numerical Analysis
Authors: Richard L. Burden, J. Douglas Faires
9th edition
538733519, 978-1133169338, 1133169333, 978-0538733519
