Finitely generated gyrovector subspaces and orthogonal gyrodecomposition in the Möbius gyrovector space

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• 作者：Toshikazu Abe^a ; ^{toshikazu.abe.bin@vc.ibaraki.ac.jp} ; Keiichi Watanabe^b ; ^{wtnbk@math.sc.niigata-u.ac.jp}
• 关键词：M&ouml ; bius gyrogroup ; M&ouml ; bius gyrovector space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：77-90
• 全文大小：325 K
• 卷排序：449

文摘

In this study, we show that any finitely generated gyrovector subspace in the Möbius gyrovector space coincides with the intersection of the vector subspace generated by the same generators and the Möbius ball. As an application, we present a notion of orthogonal gyrodecomposition and clarify the relationship with the orthogonal decomposition.