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

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Capogna, Luca (Autor), Danielli, Donatella (Autor), Pauls, Scott D. (Autor), Tyson, Jeremy (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Colección:Progress in Mathematics, 259
Temas:
Geometry, Differential.
Topological groups.
Lie groups.
Manifolds (Mathematics).
Differential equations.
Global analysis (Mathematics).
System theory.
Control theory.
Differential Geometry.
Topological Groups and Lie Groups.
Manifolds and Cell Complexes.
Differential Equations.
Global Analysis and Analysis on Manifolds.
Systems Theory, Control .
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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