We consider the effective action of M-theory compactified on a S1/Z2 orbifold with an R2 interaction in the Gauss-Bonnet combination. We derive equations of motion with source terms arising from the Gauss-Bonnet terms and find the M2-brane solution up to order κ2/3. This solution receives a correction whose dependence on the orbifold coordinate has the same form as that of the gauge 5-brane solution.
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K. Kashima (2001) studied this question.