Abstract
Hausdorff dimension distortion by Sobolev map in foliated spaces
Zoltan Balogh
Universität Bern
I will report on recent work concerning Hausdorff dimension distortion by Sobolev and
QC mappings in foliated metric spaces. We will study the question of estimating the
size of the fibers of the foliation whose Hausdorff dimension of the image under a Sobolev
mapping is raised above a certain threshold. Main examples include
Euclidean spaces foliated by lower dimensional subspaces and Heisenberg groups foliated
by homogeneous subgroups.
QC mappings in foliated metric spaces. We will study the question of estimating the
size of the fibers of the foliation whose Hausdorff dimension of the image under a Sobolev
mapping is raised above a certain threshold. Main examples include
Euclidean spaces foliated by lower dimensional subspaces and Heisenberg groups foliated
by homogeneous subgroups.