2 papers
math.DG2000
Twisted connected sums and special Riemannian holonomy
Alexei Kovalev
We give a new, connected-sum-like construction of Riemannian metrics with special holonomy G_2 on compact 7-manifolds. The construction is based on a gluing theorem for appropriate…
math.DG1998
Gluing theorems for anti-self-dual metrics
A. G. Kovalev, M. A. Singer
In this paper we announce a gluing theorem for conformal structures with anti-self-dual (ASD) Weyl tensor that applies in geometrical situations that are more general than those co…