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introducing a nonlinear connection in a lagrangian supermechanical system
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نویسنده
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azizpour e.
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منبع
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journal of advanced mathematical studies - 2012 - دوره : 5 - شماره : 2 - صفحه:82 -89
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چکیده
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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.
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کلیدواژه
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dynamical system ,lagrangian supermechanics ,nonlinear connection ,superspray
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آدرس
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university of guilan, faculty of mathematical sciences, department of pure mathematics, ایران
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پست الکترونیکی
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eazizpour@gmail.com; eazizpour@guilan.ac.ir
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Authors
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