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Area Spaces: First Steps
Authors:Dmitri Burago  Sergei Ivanov
Institution:1. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA
2. St. Petersburg Department of Steklov Institute for Math, 27 Fontanka, 191023, St. Petersburg, Russia
Abstract:We show that a Riemannian manifold of dimension at least 3 can be recovered from the space of boundaries of rectifiable integral 2-currents (the “lcycles”) equipped with the filling area distance, and discuss possible approaches to “spaces with area structures”.
Keywords:
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