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 $2 \leq 2k < n$.