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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/7465
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