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We demonstrate the effects of geometric perturbation on theTomonaga-Luttinger liquid (TLL) states in a long, thin, hollow cylinder whoseradius varies periodically. The variation in the surface curvature inherent tothe system gives rise to a significant increase in the power-law exponent ofthe single-particle density of states. The increase in the TLL exponent iscaused by a curvature-induced potential that attracts low-energy electrons toregion that has large curvature.

Geometry-Driven Shift in the Tomonaga-Luttinger Exponent of Deformed Cylinders