A translation of "What is differential geometry: curves and surfaces"
History and Overview
2026-01-06 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2601.02325,
title = {A translation of "What is differential geometry: curves and surfaces"},
author = {Anton Petrunin and Sergio Zamora Barrera},
journal= {arXiv preprint arXiv:2601.02325},
year = {2026}
}
Comments
Russian translation of [arXiv:2012.11814] "What is differential geometry: curves and surfaces" by Anton Petrunin and Sergio Zamora Barrera