Two quantitative definitions of α-regularity for Riemannian surfaces, one based on curvature and one on local metric coefficients, are shown to be equivalent up to constants depending on α.
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A quantitative approach to the regularity of a Riemannian surface
Two quantitative definitions of α-regularity for Riemannian surfaces, one based on curvature and one on local metric coefficients, are shown to be equivalent up to constants depending on α.