
## 6. Ricci Solitons

1. #### Problem 6.1.

[O. Munteanu] Do $4$-dimension shrinkers have bounded scalar curvature?
• #### Problem 6.2.

[O. Munteanu] Are there examples of shrinkers other than the one on $\hat{\mathbb{C}}$ in $4$ dimension?
• #### Problem 6.3.

[O. Munteanu, B. Chow and P. Lu] For any dimension, is it true that a shrinker $(M,g)$ either is asymptotically conical, or it must split off a line?
• #### Problem 6.4.

[O. Munteanu] Are there any (genuine) examples of shrinkers which are not Kahler?
• #### Problem 6.5.

[O. Munteanu] Do complete shrinking solitons split off a line?
• #### Problem 6.6.

[O. Munteanu] Are compact shrinkers with positive sectional curvature Einstein?
• #### Problem 6.7.

[O. Munteanu] Is $\mathbb{R} \times \Sigma$, for $\Sigma$ the cigar soliton, the only collapsed $3$-dimension steady soliton?

Cite this as: AimPL: Geometric flows and Riemannian geometry, available at http://aimpl.org/flowriemannian.