Title of article :
Variational problems on Lie algebroids
Author/Authors :
Saunders، D. J. نويسنده , , Crampin، M. نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Abstract :
A paper by Weinstein asks whether Lagrangeʹs equations for a variational problem on an integrable Lie algebroid can be obtained by a limiting process from a related problem on the corresponding Lie groupoid. We provide an intrinsic method of doing this when the Lagrangian is quadratic on the fibres of the algebroid
Keywords :
Volume , energy and total bending of vector fields , variational problems , critical points , Volume and energy functionals
Journal title :
DIFFERENTIAL GEOMETRY & APPLICATIONS
Journal title :
DIFFERENTIAL GEOMETRY & APPLICATIONS