A Spin-Perturbation for Minimal Surfaces
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AbstractWe 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.
1988 ◽
Vol 11
(4)
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pp. 651-656
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2001 ◽
Vol 73
(2)
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pp. 161-164
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1971 ◽
Vol 5
(3)
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pp. 315-320
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1984 ◽
Vol 4
(4)
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pp. 471-479
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2015 ◽
Vol 144
(3)
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pp. 1209-1221
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