Title of article :
Lagrangian submanifolds and dynamics on lie affgebroids
Author/Authors :
Iglesias، نويسنده , , Robert D. and Marrero، نويسنده , , J.C. and Padrَn، نويسنده , , E. and Sosa، نويسنده , , D.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe the Lagrangian (Hamiltonian) dynamics on a Lie affgebroid in terms of this type of structures. Several examples are discussed.
Keywords :
70G45 , symplectic Lie affgebroids , time-dependent mechanics , 53D12 , 70H03 , 171366 , Tulczyjewיs triple , 70H05 , Lagrangian submanifolds , Lie affgebroids , Canonical involution , Atiyah affgebroids , Hamilton equations , 70H20 , Euler-Lagrange equations
Journal title :
Reports on Mathematical Physics
Journal title :
Reports on Mathematical Physics