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- W4386107353 abstract "<abstract><p>We define harmonic maps between sub-Riemannian manifolds by generalizing known definitions for Riemannian manifolds. We establish conditions for when a horizontal map into a Lie group with a left-invariant metric structure is a harmonic map. We show that sub-Riemannian harmonic maps can be abnormal or normal, just as sub-Riemannian geodesics. We illustrate our study by presenting the equations for harmonic maps into the Heisenberg group.</p></abstract>" @default.
- W4386107353 created "2023-08-24" @default.
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- W4386107353 date "2023-01-01" @default.
- W4386107353 modified "2023-10-06" @default.
- W4386107353 title "Harmonic maps into sub-Riemannian Lie groups" @default.
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- W4386107353 doi "https://doi.org/10.3934/cam.2023025" @default.
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