A Spin-Perturbation for Minimal Surfaces

Ruijun Wu

doi:10.1007/s10013-021-00496-6

A Spin-Perturbation for Minimal Surfaces

Ruijun Wu^*

^*Corresponding author for this work

International School for Advanced Studies

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the coupling of the minimal surface equation with a spinor of harmonic type. This arises as the Euler–Lagrange equations of the sum of the volume functional and the Dirac action, defined on an appropriated Dirac bundle. The solutions show a relation to Dirac-harmonic maps under some constraints on the energy-momentum tensor, extending the relation between Riemannian minimal surface and harmonic maps.

Original language	English
Pages (from-to)	513-526
Number of pages	14
Journal	Vietnam Journal of Mathematics
Volume	49
Issue number	2
DOIs	https://doi.org/10.1007/s10013-021-00496-6
Publication status	Published - Jun 2021
Externally published	Yes

Keywords

Dirac-harmonic maps
Energy-momentum tensor
SP-minimal surface

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10.1007/s10013-021-00496-6

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abstract = "We investigate the coupling of the minimal surface equation with a spinor of harmonic type. This arises as the Euler–Lagrange equations of the sum of the volume functional and the Dirac action, defined on an appropriated Dirac bundle. The solutions show a relation to Dirac-harmonic maps under some constraints on the energy-momentum tensor, extending the relation between Riemannian minimal surface and harmonic maps.",

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AB - We investigate the coupling of the minimal surface equation with a spinor of harmonic type. This arises as the Euler–Lagrange equations of the sum of the volume functional and the Dirac action, defined on an appropriated Dirac bundle. The solutions show a relation to Dirac-harmonic maps under some constraints on the energy-momentum tensor, extending the relation between Riemannian minimal surface and harmonic maps.

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KW - Energy-momentum tensor

KW - SP-minimal surface

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A Spin-Perturbation for Minimal Surfaces

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Keywords

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