Hausdorff measure of the singular set of quasiregular maps on Carnot groups.
Hilbert-Smith Conjecture for K - Quasiconformal Groups
MSC 2010: 30C60A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
Hyperbolic and uniform domains in Banach spaces.