Geometric analysis on quaternion anisotropic Carnot groups (Q960675)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Geometric analysis on quaternion anisotropic Carnot groups |
scientific article; zbMATH DE number 5485385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric analysis on quaternion anisotropic Carnot groups |
scientific article; zbMATH DE number 5485385 |
Statements
Geometric analysis on quaternion anisotropic Carnot groups (English)
0 references
5 January 2009
0 references
This article considers examples of two-step Carnot groups related to the quaternions. It studies their geodesics with respect to the Carnot-Carathéodory metric. It employs the Hamiltonian formalism, and considers the solution which the minimizes an action functional. Fundamental solutions of the heat and Laplace equations are also given.
0 references
Carnot group
0 references
geodesic
0 references
Carnot-Carathéodory metric
0 references
0 references
0 references
