Published Paper
Inserted: 30 oct 2009
Last Updated: 28 feb 2013
Journal: J. Geom. Anal.
Volume: 23
Number: 2
Pages: 812-854
Year: 2013
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 non degenerate $n$--dimensional solutions $(M_1,g_1)$ and $(M_2,g_2)$ of the (positive) $sigma_k$-Yamabe problem, provided $2 <= 2k < n$. The problem is equivalent to solve a second order fully nonlinear elliptic equation.
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