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An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

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Cover of 'An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem'

Table of Contents

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    Book Overview
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    Chapter 1 The Isoperimetric Problem in Euclidean Space
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    Chapter 2 The Heisenberg Group and Sub-Riemannian Geometry
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    Chapter 3 Applications of Heisenberg Geometry
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    Chapter 4 Horizontal Geometry of Submanifolds
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    Chapter 5 Sobolev and BV Spaces
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    Chapter 6 Geometric Measure Theory and Geometric Function Theory
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    Chapter 7 The Isoperimetric Inequality in ℍ
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    Chapter 8 The Isoperimetric Profile of ℍ
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    Chapter 9 Best Constants for Other Geometric Inequalities on the Heisenberg Group
Attention for Chapter 3: Applications of Heisenberg Geometry
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