A translation of "What is differential geometry: curves and surfaces"
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.
Fields of Study & Subjects
Mathematics and Applications
Geometric Analysis and Curvature Flows
History and Theory of Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 5 January 2026
- Document type
- Preprint