Sentence examples for be a connected compact from inspiring English sources

Let K be a connected compact semisimple Lie group and KC its complexification.

which is a (connected) compact set since is continuous on the compact set, where is the unit sphere in.

Let be a connected, simply connected nilpotent Lie group and let be a maximal compact subgroup of.

Let G be a connected, simply connected, nilpotent Lie group and let C be a maximal compact subgroup of Aut(G).

Let G be a connected semisimple Lie group with no compact factors and finite center and Γ ⊂ G an irreducible lattice.

Let G be a connected real semisimple Lie group which contains a compact Cartan subgroup such that it has non-empty discrete series.

Let C be a connected group.

Let G be a connected graph.

The space (mathfrak{B}_{v}^{mathbb{C} }) of complex vertex conditions at vertex v is a connected and compact complex manifold of complex dimension (delta^{2} v)).

By Lemma 1 the set Γ is a connected and compact subset of S. By property (v) there is a point (overline {g}'in Gamma: overline{g}'_{n}=1/3).

Since the invariant, connected, bounded absorbing set fulfills (3.15), exploiting a classical result of the theory of attractors of semigroups (see, e.g., [28]), we conclude that the -limit set of, that is, (3.17). is a connected and compact global attractor of.