The Soul Conjecture in Alexandrov geometry in dimension 4

Xiaochun Rong, Yusheng Wang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we prove the Soul Conjecture in Alexandrov geometry in dimension 4, i.e. if X is a complete non-compact 4-dimensional Alexandrov space of non-negative curvature and positive curvature around one point, then a soul of X is a point.

Original languageEnglish (US)
Article number108386
JournalAdvances in Mathematics
Volume404
DOIs
StatePublished - Aug 6 2022

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Alexandrov geometry
  • Finite quotient of join
  • Sharafutdinov retraction
  • Soul Conjecture
  • Submetry

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