Concentrated, nearly monotonic, epiperimetric measures in euclidean space

De Pauw, Thierry
(2007) Journal of Differential Geometry — Vol. 77, n° 1, p. 77-134 (2007)

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  • De Pauw, ThierryUCLouvain
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Abstract
We characterize Holder continuously differentiable m dimensional submanifolds of Euclidean space among m rectifiable sets S in terms of growth conditions on the m density ratios of the Hausdorff measure H-m L S.
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De Pauw, T. (2007). Concentrated, nearly monotonic, epiperimetric measures in euclidean space. Journal of Differential Geometry, 77(1), 77-134. https://hdl.handle.net/2078.5/44547 (Original work published 2007)