演講訊息 TALKS

In Euclidean space, the fundamental theorem of curves states that any curve is characterized by its curvature and torsion up to a rigid motion. This results has been widely developed to many fields of geometry. However, in Heisenberg group, as a model case of CR geometry, there are few such results presented. By defining the appropriate invariants, we show the analogous result in the Heisenberg groups; moreover, we also classify horizontally regular curves by the order of curves.