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

• Κύριοι συγγραφείς: Capogna, Luca (Συγγραφέας), Pauls, Scott D. (Συγγραφέας), Danielli, Donatella (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Tyson, Jeremy T. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2007.
• Σειρά: Progress in Mathematics ; 259
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; System theory.; Differential geometry.; Complex manifolds.; Differential Geometry.; Topological Groups, Lie Groups.; Manifolds and Cell Complexes (incl. Diff.Topology).; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.; Systems Theory, Control.

The past decade has witnessed a dramatic and widespread expansion of interest and activity in sub-Riemannian (Carnot-Caratheodory) geometry, motivated both internally by its role as a basic model in the modern theory of analysis on metric spaces, and externally through the continuous development of...

Πίνακας περιεχομένων:

• The Isoperimetric Problem in Euclidean Space
• The Heisenberg Group and Sub-Riemannian Geometry
• Applications of Heisenberg Geometry
• Horizontal Geometry of Submanifolds
• Sobolev and BV Spaces
• Geometric Measure Theory and Geometric Function Theory
• The Isoperimetric Inequality in ?
• The Isoperimetric Profile of ?
• Best Constants for Other Geometric Inequalities on the Heisenberg Group.