Area Spaces: First Steps |
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Authors: | Dmitri Burago Sergei Ivanov |
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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
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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”. |
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Keywords: | |
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