INEXTENSIBLE FLOWS OF CURVES IN LIE GROUPS

Abstract

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