Abstract
The Poincaré disk is a typical example of a (real inner product) gyrovector spaces. In this paper, we show that the Poincaré disk cannot have a complex scalar multiplication in a natural sense.
Funding Statement
This work was supported by JSPS KAKENHI Grant Numbers JP22K03332.
Acknowledgements
The author is grateful to the referee for his/her valuable comments and suggestions.
Citation
Toshikazu Abe. "COMPLEX SCALAR MULTIPLICATIONS ON THE POINCARÉ DISK." Nihonkai Math. J. 33 (2) 39 - 43, 2022.
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