Constant $σ_{k}$-curvature metrics with Delaunay type ends

Details Constant $σ_{k}$-curvature metrics with Delaunay type ends Constant $σ_{k}$-curvature metrics with Delaunay type ends

2010-08-03

arxiv.org/abs/1008.0490v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we produce families of complete non compact Riemannian metrics
with positive constant $\sigma_k$-curvature by performing the connected sum of
a finite number of given $n$-dimensional Delaunay type solutions, provided $2
\leq 2k < n$. The problem is equivalent to solve a second order fully nonlinear
elliptic equation.

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