Geometric analysis on quaternion anisotropic Carnot groups
type: Item
instance of: scholarly article
title: Geometric analysis on quaternion anisotropic Carnot groups
zbMATH Open document ID: 1165.53031
DOI: 10.1134/S1064562408010316
author: Irina Markina
author: Der-Chen Chang
published in: Doklady Mathematics
publication date: 2009-01-05T00:00:00Z
review text: 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.
reviewed by: Meng-Kiat Chuah
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C17
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 5485385
zbMATH Keywords: Carnot group
zbMATH Keywords: geodesic
zbMATH Keywords: Carnot-Carathéodory metric
MaRDI profile type: Publication
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full work available at URL: s1064562408010316
OpenAlex ID: W1977008345
description: scientific article; zbMATH DE number 5485385