A translation of "What is differential geometry: curves and surfaces"
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908748437520384 |
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| author | Petrunin, Anton Barrera, Sergio Zamora |
| author_facet | Petrunin, Anton Barrera, Sergio Zamora |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02325 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A translation of "What is differential geometry: curves and surfaces" Petrunin, Anton Barrera, Sergio Zamora History and Overview Differential Geometry 53-01, 53A04, 53A05, 53C45 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. |
| title | A translation of "What is differential geometry: curves and surfaces" |
| topic | History and Overview Differential Geometry 53-01, 53A04, 53A05, 53C45 |
| url | https://arxiv.org/abs/2601.02325 |