Euler ’ s superequations 1
نویسندگان
چکیده
Let L define a regular problem in the calculus of variations on a supermanifold. A necessary condition for a piecewise superdifferentiable supercurve C in the sense of Rogers be a week local minimum for L is that C be superdifferentiable and C̃ be an integral supercurve of X , where X is defined by X dσ = 0, ω = d L , 〈X, dt〉 = 1, the superform σ = L∗ω is defined on T (M) × BL and L is an immersion of T (M) × BL into T ∗(M) × BL , (a Legendre supertransformation).
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