A Gluing Construction for Solutions to Fully Nonlinear Equations in Conformal Geometry
| GEOMETRIC PDE SEMINAR | |
| Topic: | A Gluing Construction for Solutions to Fully Nonlinear Equations in Conformal Geometry |
| Speaker: | Giovanni Catino |
| Affiliation: | Universit`a di Pisa, Italy |
| Date: | Tuesday, April 7 |
| Time/Room: | 3:30pm - 4:30pm/S-101 |
We construct new solutions to the $\sigma_k$-Yamabe problem on compact manifolds by considering the connected sum of two nondegenerate solutions $(M^n_1,g_1)$ and $(M^n_2,g_2)$, for any $2 \leq 2k < n$.