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

#### 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.
##### Scheda breve Scheda completa Scheda completa (DC)
File in questo prodotto:
File
sigma_k curvature metrics with Delaunay type ends.pdf

Accesso chiuso

Tipologia: Submitted version (pre-print)
Licenza: Non pubblico
Dimensione 535.24 kB
Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/7465