Papers › What is differential geometry: curves and surfaces

What is differential geometry: curves and surfaces

22 Dec 2020arXiv:2012.11814links table onlyarchive 2025-07-28

Anton Petrunin, Sergio Zamora Barrera

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These notes are designed for those who either plan to work in differential geometry, or at least want to have a good reason not to do it. We discuss smooth curves and surfaces -- the main gate to differential geometry. We focus on the techniques that are absolutely essential for further study, keeping it problem-centered, elementary, visual, and virtually rigorous.

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