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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
11/2017

Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary

Jürgen Jost, Lei Liu and Miaomiao Zhu

Abstract

For a sequence of coupled fields $\{(\phi_n,\psi_n)\}$ from a compact Riemann surface $M$ with smooth boundary to a general compact Riemannian manifold with uniformly bounded energy and satisfying the Dirac-harmonic system up to some uniformly controlled error terms, we show that the energy identity holds during a blow-up process near the boundary. As an application to the heat flow of Dirac-harmonic maps from surfaces with boundary, when such a flow blows up at infinite time, we obtain an energy identity

Received:
Jan 30, 2017
Published:
Jan 31, 2017
MSC Codes:
53C43, 58E20
Keywords:
Dirac-harmonic maps, approximate Dirac-harmonic maps, Dirac-harmonic map ow, energy identity, boundary blow-up

Related publications

inJournal
2019 Repository Open Access
Jürgen Jost, Lei Liu and Miaomiao Zhu

Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary

In: Annales de l'Institut Henri Poincaré / C, 36 (2019) 2, pp. 365-387