homogeneous space in a sentence

Examples

1. The result is known as a homogeneous space.
2. There are many further homogeneous spaces of the classical linear groups in common use in mathematics.
3. This quotient formulation gives \ mathrm { AdS } _ n the structure of a homogeneous space.
4. Similarly, the matrices could be taken as automorphisms of a homogeneous space; this defines a geometric finite automaton.
5. In other words, the " traditional spaces " are homogeneous spaces; but not for a uniquely determined group.
6. The extra differential structure that these homogeneous spaces possess allows one to study and generalize their geometry using calculus.
7. In this case the non-compact space is the unit disk, a homogeneous space for SU ( 1, 1 ).
8. These equations contain only functions of time; this is a condition that has to be fulfilled in all homogeneous spaces.
9. It may be identified with the homogeneous space of complex dimension " n ( n + 1 ) / 2"
10. Using the identification of with the homogeneous space, the connection 1-form is just a component of the Maurer Cartan 1-form on.