Isoperimetry and lattices in groups of Heisenberg type.

Title: Isoperimetry and lattices in groups of Heisenberg type.
Identifier: AAI9969685
identifier: 9969685
Creator: Crandall, Gordon Lee.
Contributor: Adviser: Jozef Dodziuk
Date: 2000
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: In the first part of this thesis, an isoperimetric inequality is proved for connected, simply connected nilpotent Lie groups N containing a lattice. The proof is by rough isometry, consequently the inequality is valid only for balls in N of large radius. In the second part, it is proved that every Lie group of H-type contains an embedded lattice. Isoperimetric inequalities on H-type groups then follow from the result obtained in the first part.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.