INEXTENSIBLE FLOWS OF CURVES IN LIE GROUPS

Document Type : Research Articles

Authors

Department of Mathematics, University of Bilecik Seyh Edebali, Bilecik, Turkey

Abstract

In this paper, we study inextensible ows in three dimensional Lie
groups with a bi-invariant metric. The necessary and sucient conditions for
inextensible curve ow are expressed as a partial di
erential equation involving
the curvatures. Also, we give some results for special cases of Lie groups.