My Math Forum Differential Geometry question

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 January 12th, 2019, 02:12 AM #1 Newbie   Joined: Jan 2019 From: London Posts: 2 Thanks: 0 Differential Geometry question I am looking for a rigorous proof of the following theorem (which I qoute from Schaum Differential Geometry book): "If $\displaystyle K\ne0$ at a point P on a surface, show that there is a neighborhood of P in which the points can be put into a 1-1 correspondence with the spherical image of the neighborhood (see Problem 9.57)". Note: K is Gauss curvature.

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