Connected sum construction for σ_k -yamabe metrics

摘要

In this paper we produce families of Riemannian metrics with positive constant σ_k -curvature equal to 2~(-k(n k)) by performing the connected sum of two given compact nondegenerate n-dimensional solutions (M_1,g_1) and (M_2,g_2) of the (positive) σ_k -Yamabe problem, provided 2≤2k