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   introducing a nonlinear connection in a lagrangian supermechanical system  
   
نویسنده azizpour e.
منبع journal of advanced mathematical studies - 2012 - دوره : 5 - شماره : 2 - صفحه:82 -89
چکیده    In this paper, we study the concept of a lagrangian supermechanical system.the dynamical system of a lagrangian supermechanical system defined by a second orderordinary differential equation which introduce a superspray s as a solution of the euler-lagrange equation. there is a nonlinear connection n, induced by this superspray.since every superspray on a supermanifold determines a nonlinear connections and viceversa, so we have a sequence of supersprays via nonlinear connections associated withthem. using this idea and under the conditions on lagrangian superfunctions, we willfind a nonlinear connection n 1 such that its superspray determines the above nonlinear connection n.
کلیدواژه dynamical system ,lagrangian supermechanics ,nonlinear connection ,superspray
آدرس university of guilan, faculty of mathematical sciences, department of pure mathematics, ایران
پست الکترونیکی eazizpour@gmail.com; eazizpour@guilan.ac.ir
 
     
   
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