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.
All Science Journal Classification (ASJC) codes
- Alexandrov geometry
- Finite quotient of join
- Sharafutdinov retraction
- Soul Conjecture