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arXiv · 2203.03834

Timelike minimal surfaces in the three-dimensional Heisenberg group

Hirotaka Kiyohara·Shimpei Kobayashi
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Abstract

Timelike surfaces in the three-dimensional Heisenberg group with left invariant semi-Riemannian metric are studied. In particular, non-vertical timelike minimal surfaces are characterized by the non-conformal Lorentz harmonic maps into the de Sitter two phere. On the basis of the characterization, the generalized Weierstrass type representation will be established through the loop group decompositions.

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Hirotaka Kiyohara, Shimpei Kobayashi. 2022-03-08. Timelike minimal surfaces in the three-dimensional Heisenberg group. https://arxiv.org/abs/2203.03834

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