Few Alexandrov surfaces are Riemann

Kartm Adtprasito, Tudor Zamfirkscu

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4 Scopus citations


We demonstrate ihaL in most Alcxandrov surfaces of curvature bounded below, most points are not interior to any geodesic Thus, these surfaces are not Ricmannian, in contrast to the "almost Ricmannian" structure found by Otsu-Shioya in any Alcxandrov space [6].

Original languageAmerican English
Pages (from-to)1147-1153
Number of pages7
JournalJournal of Nonlinear and Convex Analysis
Issue number6
StatePublished - 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015.


  • Alcxandrov surfaces
  • Endpoints
  • Fiaire categories


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