Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894870 | Journal of Geometry and Physics | 2012 | 15 Pages |
Abstract
With the aid of concrete examples, we consider the question of whether, in the presence of conformal curvature, a conformal geodesic can become trapped in smaller and smaller sets, or phrased informally: Are spirals possible? We do not arrive at a definitive answer, but we are able to find situations where this behaviour is ruled out, including a reduction of the conformal-geodesic equations to quadratures in a specific non-conformally flat metric.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Paul Tod,