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6. Ricci Solitons


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      Problem 6.1.

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


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          Problem 6.2.

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


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              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?


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                  Problem 6.4.

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


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                      Problem 6.5.

                      [O. Munteanu] Do complete shrinking solitons split off a line?


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                          Problem 6.6.

                          [O. Munteanu] Are compact shrinkers with positive sectional curvature Einstein?


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                              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.