聯絡我們 網站地圖 中央大學
 
 
   
     
 
主  題
The Classification of Curves in the Heisenberg Groups  
 
 
 
時  間
2015-09-30 上午 10:30~12:00  
 
 
 
地  點
健雄館 208室  
 
 
 
主 講 者
黃彥彰博士(國立中央大學數學系)  
 
 
 
內  容
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.
 
   
 
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