geometrisation การใช้

It is known that the Fubini Study metric is the natural metric for the geometrisation of quantum mechanics.
After the proof of the Geometrisation conjecture, understanding the topological properties of hyperbolic 3 & ndash; manifolds is thus a major goal of 3-dimensional topology.
Hyperbolic 3 & ndash; manifolds of finite volume have a particular importance in 3 & ndash; dimensional topology as follows from Thurston's geometrisation conjecture proved by Perelman.
Another consequence of the Geometrisation conjecture is that any closed 3-manifold which admits a Riemannian metric with negative sectional curvatures admits in fact a Riemannian metric with constant sectional curvature-1.
In general the minimal distance between simplices representing diagram for the splitting can give information on the topology and geometry ( in the sense of the geometrisation conjecture of the manifold and vice versa.