Smoothing 3-dimensional polyhedral spaces

Nina Lebedeva, Vladimir Matveev, Anton Petrunin, Vsevolod Shevchishin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.

Original languageEnglish (US)
Pages (from-to)12-19
Number of pages8
JournalElectronic Research Announcements in Mathematical Sciences
StatePublished - Jul 22 2015

All Science Journal Classification (ASJC) codes

  • General Mathematics


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