homogeneous space

It is a homogeneous space for a Lie group action, in more than one way.

The result is known as a homogeneous space.

Let 'P' be the underlying principal homogeneous space of 'G'.

This quotient formulation gives to a homogeneous space structure.

Philoponus attempts to combine the idea of homogeneous space with the Aristotelian system.

The specific spaces are, (for groups, the principal homogeneous space is also listed):

There are many further homogeneous spaces of the classical linear groups in common use in mathematics.

In both of these examples the model space is a homogeneous space G/H.

A homogeneous space is a similar concept.

An isotropic and homogeneous space can be described by the metric:

In each of these examples, the collection of all frames is homogeneous space in a certain sense.

In other words, the "traditional spaces" are homogeneous spaces; but not for a uniquely determined group.

These equations contain only functions of time; this is a condition that has to be fulfilled in all homogeneous spaces.

In mathematics, a solvmanifold is a homogeneous space of a connected solvable Lie group.

Analysis on Lie groups and homogeneous spaces.

A homogeneous space is a G-space on which G acts transitively.

The quickest way of giving the Grassmannian a geometric structure is to express it as a homogeneous space.

In each case V(F) can be viewed as a homogeneous space:

Thus a homogeneous space can be thought of as a coset space without a choice of origin.

In the above models, metric evolution near the singularity is studied on the example of homogeneous space metrics.

First consider displacements in a flat three-dimensional space, which is one sort of isotropic homogeneous space.

The homogeneous spaces are then called weakly symmetric spaces.

Cartan connections describe the geometry of manifolds modelled on homogeneous spaces.

Topics in harmonic analysis on homogeneous spaces.

I. Homogeneous spaces and the Riccati equation in the calculus of variations.