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We analyze the Casalbuoni-Brink-Schwarz superparticle model on a2-dimensional curved spacetime as a super Finsler metric defined on a(2,2)-dimensional supermanifold. We propose a nonlinear Finsler connectionwhich preserves this Finsler metric and calculates it explicitly. The equationsof motion of the superparticle are reconstructed in the form of auto-parallelequations expressed by the super nonlinear connection.

Super Finsler Connection of Superparticle on Two Dimensional Curved Spacetime