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Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group

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Title: Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group
Authors: Kiyohara, Hirotaka Browse this author
Kobayashi, Shimpei Browse this author →KAKEN DB
Keywords: Minimal surfaces
Heisenberg group
Timelike surfaces
Loop groups
The generalized Weierstrass type representation
Issue Date: Aug-2022
Publisher: Springer
Journal Title: Journal of Geometric Analysis
Volume: 32
Issue: 8
Start Page: 225
Publisher DOI: 10.1007/s12220-022-00962-8
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 sphere. On the basis of the characterization, the generalized Weierstrass type representation will be established through the loop group decompositions.
Rights: This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at:
Type: article (author version)
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 小林 真平

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