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Twist stiffness and an asymmetric bending stiffness of a polymer or a polymerbundle is captured by the elastic ribbon model. We investigate the effects aring geometry induces to a thermally fluctuating ribbon, finding bend-bendcoupling in addition to twist-bend coupling. Furthermore, due to the geometricconstraint the polymer's effective bending stiffness increases. A new parameterfor experimental investigations of polymer bundles is proposed: the mean squarediameter of a ribbonlike ring, which is determined analytically in thesemiflexible limit. Monte Carlo simulations are performed which affirm themodel's prediction up to high flexibility.

Fluctuating semiflexible polymer ribbon constrained to a ring