TY - JOUR
T1 - Connected Sum Construction for σk-Yamabe Metrics
JF - Journal of Geometric Analysis 23, nr.2 (2013), pages 812-854
Y1 - 2013
A1 - Giovanni Catino
A1 - Lorenzo Mazzieri
AB - 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.
PB - Springer
UR - http://hdl.handle.net/1963/6441
N1 - This article has not yet been published.
U1 - 6366
U2 - Mathematics
U4 - -1
ER -