In this work, we construct a sequence of Riemannian metrics on the three-sphere with scalar curvature greater than or equal to 6 and arbitrarily large widths. The search for metrics with such properties is motivated by the rigidity result of min-max minimal spheres in three-manifolds obtained by Marques and Neves (Duke Math J 161(14):2725–2752, 2012).
|Original language||English (US)|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Dec 1 2016|
All Science Journal Classification (ASJC) codes
- Applied Mathematics