Fang–Man–Zhang conjecture on finite topological type of shrinking Ricci solitons

A shrinking Ricci soliton is a complete gradient Ricci soliton with positive soliton constant. A complete Riemannian manifold has finite topological type if it is homeomorphic to the interior of a compact manifold with boundary.

Fang–Man–Zhang conjecture. Any shrinking Ricci soliton has finite topological type.

Finite topological type would imply that such solitons have finitely many ends. The source presents this as a conjecture of Fang, Man, and Zhang; its resolution is not established in the supplied text.