Magnetic geodesics on surfaces with singularities. (English) Zbl 1384.53041
Summary: We focus on the numerical study of magnetic geodesics on surfaces, including surfaces with singularities. In addition to the numerical investigation, we give restrictive necessary conditions for tangency directions of magnetic geodesics passing through certain types of singularities.
MSC:
| 53C22 | Geodesics in global differential geometry |
| 53A05 | Surfaces in Euclidean and related spaces |
| 53A10 | Minimal surfaces in differential geometry, surfaces with prescribed mean curvature |
| 65-05 | Experimental papers (numerical analysis) (MSC2010) |
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