Sentence examples for simply connected from inspiring English sources

Let be a connected, simply connected nilpotent Lie group.

Let G be a connected, simply connected Lie group and let g be its algebra.

Let M be a complete, connected, simply connected Riemannian manifolds of constant sectional curvature.

Suppose that is a -dimensional connected, simply connected nilpotent Lie group.

Let G be a complex, connected and simply connected semisimple Lie group with Lie algebra g.

Then it is a connected and simply connected 2-step nilpotent Lie group.

Let be a map between connected, locally path connected, and semilocally simply connected spaces.

Figure 4 Topologies constructed by SolarTC 2. (a) No backbone (simply connected topology produced by LMST), (b) 2-connected backbone, (c) simply connected backbone, and (d) disconnected backbone.

In this sense, the surface of the football is said to be "simply connected".

So the surface of the doughnut is said to be not simply connected.

In this example, mathematicians would say that the surface of the apple is "simply connected".