3 papers
math.AP2010
Constant -curvature metrics with Delaunay type ends
Lorenzo Mazzieri, Antonio Segatti
In this paper we produce families of complete non compact Riemannian metrics with positive constant -curvature by performing the connected sum of a finite number of given -…
math.DG2010
Rotational symmetry of 3D gradient steady Ricci solitons
Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri
This paper has been withdrawn by the author due to an error
math.DG2010
Refined gluing for Vacuum Einstein constraint equations
Erwann Delay, Lorenzo Mazzieri
We first show that the connected sum along submanifolds introduced by the second author for compact initial data sets of the vacuum Einstein system can be adapted to the asymptotic…