Dimension comparison and H-regular surfaces in Heisenberg groups

In this thesis we study a specific Carnot group which is the $n$-th Heisenberg group $\mathbb{H}^n = (\mathbb{R}^{2n+1}, \ast)$. Carnot groups are simply connected nilpotent Lie groups whose Lie algebra admits a stratification. The Heisenberg group $\mathbb{H}^n$ is one of the easiest examples of n...

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Bibliographic Details
Main Author: Arvila, Miro
Other Authors: Faculty of Sciences, Matemaattis-luonnontieteellinen tiedekunta, Department of Mathematics and Statistics, Matematiikan ja tilastotieteen laitos, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2024
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/92999