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on the compatibility of supermetrics with nonlinear connections
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نویسنده
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azizpour esmaeil
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منبع
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journal of finsler geometry and its applications - 2023 - دوره : 4 - شماره : 2 - صفحه:22 -37
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چکیده
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One of the helmholtz conditions for the inverse problem of a lagrangian mechanics is the metric compatibility of a semispray and the associated nonlinear connection with a generalized lagrange metric. in this paper, with respect to the supermetric induced by the hessian of the lagrangian, we find a family of nonlinear connections compatible with supermetric. in a particular case, when a lagrangian superfunction is regular, we have a solution for the euler-lagrangesuperequation which defines a metric nonlinear connection.
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کلیدواژه
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horizontal endomorphism ,finsler supermanifolds ,canonical nonlinear connection ,supermetric
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آدرس
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university of guilan, faculty of mathematical sciences, department of pure mathematics, iran
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پست الکترونیکی
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eazizpour@guilan.ac.ir
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Authors
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