Suppose that in a coordinate patch x: U M the Weingarten map satisfies L = fI

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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

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Posted Date: Oct 11, 2020 03:00 AM

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Suppose that in a coordinate patch x: U M the Weingarten map satisfies L = fI

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the Soin Weingarten map I is the Identity it that Identity transfor... View the full answer

Numerical Analysis

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