Nihonkai Mathematical Journal
- Nihonkai Math. J.
- Volume 27, Number 1-2 (2016), 99-115.
A confirmation by hand calculation that the Möbius ball is a gyrovector space
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  will also be made.
This work is partly supported by Grant-in-Aid for Scientific Research (C) Number 23540190, Japan Society for the Promotion of Science.
Nihonkai Math. J., Volume 27, Number 1-2 (2016), 99-115.
Received: 12 January 2016
Revised: 4 April 2016
First available in Project Euclid: 14 September 2017
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 51M10: Hyperbolic and elliptic geometries (general) and generalizations
Secondary: 20N05: Loops, quasigroups [See also 05Bxx] 46C99: None of the above, but in this section 51P05: Geometry and physics (should also be assigned at least one other classification number from Sections 70-86)
Watanabe, Keiichi. A confirmation by hand calculation that the Möbius ball is a gyrovector space. Nihonkai Math. J. 27 (2016), no. 1-2, 99--115. https://projecteuclid.org/euclid.nihmj/1505419744