Open AccessThe effect of projections on dimension in the Heisenberg group
Author(s) -
Zoltán M. Balogh,
Estíbalitz Durand-Cartagena,
Katrin Fässler,
Pertti Mattila,
Jeremy T. Tyson
Publication year - 2013
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/725
Subject(s) - heisenberg group , dimension (graph theory) , mathematics , euclidean geometry , projection (relational algebra) , group (periodic table) , metric (unit) , pure mathematics , mathematical analysis , combinatorics , algebra over a field , geometry , physics , quantum mechanics , algorithm , operations management , economics
We prove analogs of classical almost sure dimension theorems for Euclidean projection mappings in the first Heisenberg group, equipped with a sub-Riemannian metric
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