3 problems

Bando–Kasue–Nakajima conjecture for ALE gravitational instantons
Let $(M,g)$ be an ALE gravitational instanton. Bando–Kasue–Nakajima conjecture. The gravitational instanton $(M,g)$ is of Type I, up to orientation reversal. Partial results are kn…
openale-geometry gravitational-instantons ricci-flat-geometry
0 responses
09
The Gibbons–Bando-Kasue-Nakajima conjecture on simply-connected Ricci-flat ALE instantons
A simply-connected Ricci-flat ALE instanton is a complete Riemannian manifold with vanishing Ricci curvature and asymptotically locally Euclidean geometry. Gibbons–Bando-Kasue-Naka…
openale-geometry gravitational-instantons hyperkahler-geometry
0 responses
03
The stable ALE desingularization conjecture for spherical and hyperbolic orbifolds
Stable ALE desingularization conjecture. There exists an ancient, respectively immortal, renormalized Ricci flow on $M_o\#_{\mathbb{S}^3/\Gamma}N$ with limit $(M_o,g_o)$ at…
openale-geometry orbifolds ricci-flow
0 responses
012

Bando–Kasue–Nakajima conjecture for ALE gravitational instantons