Representation formula for discrete indefinite affine spheres

Kobayashi, Shimpei; Matsuura, Nozomu

Differential Geometry and its Applications, 2020, 69, 101592

Permalink : https://hdl.handle.net/2115/84710

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ファイル	フォーマット	サイズ	閲覧回数	説明
Differ. Geom. Appl. 69_101592	pdf	1.34 MB	246

アクセス権	open access
URI	https://hdl.handle.net/2115/84710
タイトル	Representation formula for discrete indefinite affine spheres
著者	e-Rad_Researcher 40408654 著者名 Kobayashi, Shimpei
著者	著者名 Matsuura, Nozomu
言語	英語
キーワード	Affine sphere
	Tzitzeica equation
	Liouville equation
	Discrete differential geometry
	Discrete integrable systems
	Loop group
発行日	2020-04
出版者	Elsevier
収録物名	Differential Geometry and its Applications
巻(号)	69
ページ	101592
抄録	We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show that a discrete indefinite improper affine sphere can be constructed from two discrete plane curves. (C) 2020 Elsevier B.V. All rights reserved.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
権利情報	©2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
PISSN	0926-2245
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.difgeo.2020.101592