In this paper we produce families of complete noncompact Riemannian metrics with positive constant σk-curvature by performing the connected sum of a finite number of given n-dimensional σk-Delaunay type solutions, provided 2 <= 2k < n. The problem is equivalent to solve a second order fully nonlinear elliptic equation.
Constant $\sigma_{k}$-curvature metrics with Delaunay type ends
MAZZIERI, LORENZO;
2012
Abstract
In this paper we produce families of complete noncompact Riemannian metrics with positive constant σk-curvature by performing the connected sum of a finite number of given n-dimensional σk-Delaunay type solutions, provided 2 <= 2k < n. The problem is equivalent to solve a second order fully nonlinear elliptic equation.File in questo prodotto:
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sigma_k curvature metrics with Delaunay type ends.pdf
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