A local optimal diastolic inequality on the two-sphere

Florent Balacheff*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

We prove a local optimal inequality on the two-sphere between the area and the diastole - defined by a minimax process on the one-cycle space - in a neighborhood of the singular metric made of two equilateral triangles glued along their boundaries.

Original languageEnglish
Pages (from-to)109-121
Number of pages13
JournalJournal of Topology and Analysis
Volume2
Issue number1
DOIs
Publication statusPublished - Mar 2010

Keywords

  • Calabi's conjecture
  • conical singularity
  • diastole
  • systole
  • two-sphere

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