We introduce a notion for hypersurfaces in Rd + 1that is analogous to the chord-arc condition with small constant for curves in the plane. We give various equivalent operator-theoretic, function-theoretic, and geometrical characterizations of these surfaces. We not know any nice potential-theoretic characterizations. In a companion paper we address the issue of finding good parameterizations for these surfaces. © 1991.
Semmes, S. (1991). Chord-arc surfaces with small constant, I. Advances in Mathematics, 85(2), 198–223. https://doi.org/10.1016/0001-8708(91)90056-D