@article {2013,
title = {Connected Sum Construction for σk-Yamabe Metrics},
journal = {Journal of Geometric Analysis 23, nr.2 (2013), pages 812-854},
number = {arXiv:0910.5353;},
year = {2013},
note = {This article has not yet been published.},
publisher = {Springer},
abstract = {In this paper we produce families of Riemannian metrics with positive
constant $\sigma_k$-curvature equal to $2^{-k} {n \choose k}$ by performing the connected sum of two given compact {\em non degenerate} $n$--dimensional solutions $(M_1,g_1)$ and $(M_2,g_2)$ of the (positive) $\sigma_k$-Yamabe problem, provided $2 \leq 2k < n$. The problem is equivalent to solve a second order fully nonlinear elliptic equation.},
doi = {10.1007/s12220-011-9265-1},
url = {http://hdl.handle.net/1963/6441},
author = {Giovanni Catino and Lorenzo Mazzieri}
}