The obtained bulk glasses are homogeneous and have relatively high glass transition temperatures (338-436 C), strong thermal stabilities, good chemical durability, broad transparencies (0.45-11.5 m), large refractive indices (2.01-2.25) and large densities (2.68-3.18 g cm-3).
We show that wonderful varieties are necessarily spherical (i.e., they are almost homogeneous under any Borel subgroup ofG).
Methods are developed for the calssification of homogeneous Riemannian hypersurfaces and the classification of linear transitive reductive algebraic group actions on pseudo-Riemannian hypersurfaces.
The theory is applied to the case of cubic hypersurfaces, which is the one most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special K?hler manifolds.
In this paper we prove that the homogeneous spaceG/K has a structure of a globally symmetric space for every choice ofG andK, especially forG being compact.
Weakly symmetric homogeneous spaces were introduced by A.