2020
DOI: 10.48550/arxiv.2002.04789
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Dimension Distortion by Right Coset Projections in the Heisenberg Group

Terence L. J. Harris,
Chi N. Y. Huynh,
Fernando Roman-Garcia

Abstract: We study the family of vertical projections whose fibers are right cosets of horizontal planes in the Heisenberg group, H n . We prove lower bounds for Hausdorff dimension distortion of sets under these mappings, with respect to the Euclidean metric and also the natural quotient metric. We show these bounds are sharp in a large part of the dimension range, and conjecture the sharp lower bounds for the remaining part of the range. Our approach also lets us improve the known almost sure lower bound for the stand… Show more

Help me understand this report
View published versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 16 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?