Crasmareanu, Mircea (2025) Cubics and conics geodesically associated to the points of a geometric surface. Annales Mathematicae et Informaticae, 62. pp. 46-54. ISSN 1787-5021 (Print) 1787-6117 (Online)
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Official URL: https://doi.org/10.33039/ami.2025.11.002
Abstract
We associate to any point P in a two-dimensional Riemannian manifold (M,g) a cubic curve inspired by the third-order differential equation of geodesics of g. This construction is more simple when the value in P of the Christoffel symbol Γ1 22 of g squares to +1; on this way some special types of points on M are considered. A large part of this note concerns with examples. If Γ1 22(P) = 0 we associate a conic which is discussed directly on examples.
| Item Type: | Article |
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| Uncontrolled Keywords: | two-dimensional Riemannian manifold, cubic curve, Weierstrass point |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Barbara Nagy |
| Date Deposited: | 02 Aug 2026 15:45 |
| Last Modified: | 02 Aug 2026 15:45 |
| URI: | https://real.mtak.hu/id/eprint/243696 |
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