Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group

Kiyohara, Hirotaka; Kobayashi, Shimpei

Journal of Geometric Analysis, 2022, 32(8), 225

Permalink : https://hdl.handle.net/2115/90277

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ファイル	フォーマット	サイズ	閲覧回数	説明
J. Geom. Anal._32(8)_225	pdf	870 KB	244

アクセス権	open access
URI	https://hdl.handle.net/2115/90277
タイトル	Timelike Minimal Surfaces in the Three-Dimensional Heisenberg Group
著者	著者名 Kiyohara, Hirotaka
著者	e-Rad_Researcher 40408654 著者名 Kobayashi, Shimpei
言語	英語
キーワード	Minimal surfaces
	Heisenberg group
	Timelike surfaces
	Loop groups
	The generalized Weierstrass type representation
発行日	2022-08
出版者	Springer
収録物名	Journal of Geometric Analysis
巻(号)	32(8)
ページ	225
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	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: http://dx.doi.org/10.1007/s12220-022-00962-8
PISSN	1050-6926
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1007/s12220-022-00962-8