Dirac-geodesics and their heat flows
type: Item
instance of: scholarly article
title: Dirac-geodesics and their heat flows
zbMATH Open document ID: 1329.58004
author: Qun Chen
author: Linlin Sun
author: Miaomiao Zhu
author: Jürgen Jost
published in: Calculus of Variations and Partial Differential Equations
publication date: 2015-11-09T00:00:00Z
review text: The paper under review deals with the heat flows for Dirac-geodesics that are Dirac-harmonic maps from one dimensional domains. The authors establish long-time existence for the heat flows and obtain asymptotic properties of the global solution. The Dirac-geodesics on the standard 2-sphere \(S^2 (1)\) and on the hyperbolic plane \(\mathbb{H}^2\) are classified, and existence results on topological spheres and hyperbolic surfaces are derived. The solutions obtained constitute new examples of coupled Dirac-harmonic maps in the sense that the map part is not simply a harmonic map.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 6505901
zbMATH Keywords: heat flow
zbMATH Keywords: Dirac geodesics
zbMATH Keywords: Dirac harmonic maps
zbMATH Keywords: long-time existence
MaRDI profile type: Publication
full work available at URL: s00526-015-0877-3
OpenAlex ID: W1833619657
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DOI: 10.1007/S00526-015-0877-3
description: scientific article; zbMATH DE number 6505901