{ "id": "1604.02009", "version": "v1", "published": "2016-04-07T14:26:20.000Z", "updated": "2016-04-07T14:26:20.000Z", "title": "Magnetic geodesics on surfaces with singularities", "authors": [ "Volker Branding", "Wayne Rossman" ], "categories": [ "math.DG", "math-ph", "math.MP" ], "abstract": "We prove that, generically, magnetic geodesics on surfaces will turn away from points with lightlike tangent planes, and we motivate our result with numerical solutions for closed magnetic geodesics.", "revisions": [ { "version": "v1", "updated": "2016-04-07T14:26:20.000Z" } ], "analyses": { "subjects": [ "53C22", "53A05", "53A10", "65-05" ], "keywords": [ "singularities", "turn away", "closed magnetic geodesics", "lightlike tangent planes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160402009B" } } }