Article ID Journal Published Year Pages File Type
10726981 Physics Letters A 2012 6 Pages PDF
Abstract
► Elementary differential geometry of surfaces and the Gauss-Bonnet theorem. ► The geodesic equation is numerically solved for two metrics on the sphere. ► With the Poincare surface, chaotic and regular regions are identified. ► Chaotic regions increase as the curvature fluctuation of the manifold increases.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
,