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2016 A confirmation by hand calculation that the Möbius ball is a gyrovector space
Keiichi Watanabe
Nihonkai Math. J. 27(1-2): 99-115 (2016).

Abstract

We give a confirmation that the Möbius ball of any real inner product space is a gyrovector space by using only elementary hand calculation. Some remarks to [2] will also be made.

Funding Statement

This work is partly supported by Grant-in-Aid for Scientific Research (C) Number 23540190, Japan Society for the Promotion of Science.

Citation

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Keiichi Watanabe. "A confirmation by hand calculation that the Möbius ball is a gyrovector space." Nihonkai Math. J. 27 (1-2) 99 - 115, 2016.

Information

Received: 12 January 2016; Revised: 4 April 2016; Published: 2016
First available in Project Euclid: 14 September 2017

zbMATH: 1382.51014
MathSciNet: MR3698244

Subjects:
Primary: 51M10
Secondary: 20N05 , 46C99 , 51P05

Keywords: Möbius gyrogroups , Möbius gyrovector spaces

Rights: Copyright © 2016 Niigata University, Department of Mathematics

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Vol.27 • No. 1-2 • 2016
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