Representation formula for discrete indefinite affine spheres


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Differ. Geom. Appl. 69_101592.pdf

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/84710

Title:	Representation formula for discrete indefinite affine spheres
Authors:	Kobayashi, Shimpei Browse this author →KAKEN DB
Authors:	Matsuura, Nozomu Browse this author
Keywords:	Affine sphere
	Tzitzeica equation
	Liouville equation
	Discrete differential geometry
	Discrete integrable systems
	Loop group
Issue Date:	Apr-2020
Publisher:	Elsevier
Journal Title:	Differential Geometry and its Applications
Volume:	69
Start Page:	101592
Publisher DOI:	10.1016/j.difgeo.2020.101592
Abstract:	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.
Rights:	©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/
Rights:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Type:	article (author version)
URI:	http://hdl.handle.net/2115/84710
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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