Sentence examples for homogeneous space from inspiring English sources
noun
A manifold or topological space X on which G acts by symmetry in a transitive way.
But he then laments that digital literacy goes beyond mere computing skills such as using a word-processor or a database: "The digital world is not a single, homogeneous space and, as a result, the literacies we require to traverse and interact in this space vary enormously.
Key to the constructions is the C2 parameterization of circles in homogeneous space.
We transform the G2 splines to splines that are C2 in homogeneous space.
Let (M) be a homogeneous space for (G) and (Usubseteq M) a neighbourhood of a point (ein M).
Let us start with a group G and a compact subgroup K, and consider the homogeneous space (X = G/K).
The above propositions have been proved in [9] and [10] in the case of a homogeneous space, respectively.
It is astounding to find that the rigidity in homogeneous spaces has an echo in the inhomogeneous world of moduli space.
Ratner established rigidity for dynamical systems on homogeneous spaces – these are spaces in which the neighborhood of any point looks just the same as that of any other point.
The homogeneous space-time Triebel-Lizorkin space (tilde{L}^{r}(I; dot {F}_{p,q}^{s}(mathbb{R}^{N}))) is the set of all distributions satisfying Vert uVert _{tilde{L}^{r}(I; dot{F}_{p,q}^{s})}= bigVert bigVert bigl(2^{js}Vertdot{ Delta}_{j}uVert_{L_{t}^{r}(I }bigr)_{j in mathbb{Z}} bigVert _{l^{q}} bigVert _{L^{p}}< infty.
There are many important examples of homogeneous spaces, among them spheres, hyperbolic spaces and Grassmannians.
For the boundedness of operators in Morrey spaces on homogeneous spaces, see [5].
