Area spaces: First steps

Dmitri Burago, Sergei Ivanov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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".

Original languageEnglish (US)
Pages (from-to)662-677
Number of pages16
JournalGeometric and Functional Analysis
Volume19
Issue number3
DOIs
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

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