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Posted: **Thu May 05, 2022 6:36 pm**

: Question 4 Let F Be A Local Diffeomorphism Between Smooth Surfaces Prove The Following Statements Or Disprove Them Wi 1 (12.62 KiB) Viewed 41 times

Question 4. Let f be a local diffeomorphism between smooth surfaces. Prove the following statements, or disprove them with a counterexample. (1) If f is an isometry, then f is equiarcal. (2) If f is equiareal, then f is conformal. (3) If f is conformal, then f is an isometry.