Boundary connected sum of Escobar manifolds

Weiwei Ao, Maria del Mar Gonzalez, Yannick Sire

Let $(X_1,{\bar{g}}_1)$ and $(X_2,{\bar{g}}_2)$ be two compact Riemannian manifolds with boundary $(M_1,g_1)$ and $(M_2,g_2)$ respectively. The Escobar problem consists in prescribing…