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

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

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000