Sentence examples for manifold group from inspiring English sources

Civic integration policies refer to a manifold group of policy areas, including citizenship tests, naturalization ceremonies, language and civic-orientation courses, and modules for role-playing social interaction (Goodman, 2014).

However, it still remains to show that a Gromov hyperbolic group with a 2-sphere at infinity is a 3-manifold group.

If this subdivision rule is conformal in a certain sense, the group will be a 3-manifold group with the geometry of hyperbolic 3-space.

This conjecture was partially solved by Grigori Perelman in his proof of the Geometrization conjecture, which states (in part) than any Gromov hyperbolic group that is a 3-manifold group must act geometrically on hyperbolic 3-space.

A key idea is the introduction of a canonical connection, matching the manifold and group properties of the configuration space.

This treatment is motivated by the form of the configuration space corresponding to large rigid body rotation, which is a differentiable manifold possessing group properties.

The sources of the danger are manifold, the group said.

Since the attitude motion is essential in non-Euclidean space, thus, unlike the existing designs which describe the delayed relative attitude via linear algorithm, we treat the attitude error and the local relative attitude on the nonlinear manifold-Lie group, and attempt to obtain coupling attitude information by the natural quaternion multiplication.

The proposed method relies on a well-known fact that the manifold of the group SE(3) is a Cartesian product of two manifold subgroups: the group of rotations SO(3) and the group of translations R3.

(Simpson) If X is a compact Kähler manifold, its fundamental group (pi _1(X)) cannot be isomorphic to a lattice ( Gamma ) contained in a simple Lie group not of Hodge type.

At each point of the manifold the microsymmetry group will be a concrete realization of this subgroup of \ GL(n)\).