Binary operations in the unit ball: A differential geometry approach

NE Barabanov, AA Ungar - Symmetry, 2020 - mdpi.com
Within the framework of differential geometry, we study binary operations in the open, unit
ball of the Euclidean n-space R n, n∈ N, and discover the properties that qualify these …

Embedding of strongly topological gyrogroups in path-connected and locally path-connected gyrogroups

J Wattanapan, W Atiponrat, T Suksumran - Symmetry, 2020 - mdpi.com
A gyrogroup, an algebraic structure that generalizes groups, is modeled on the bounded
symmetric space of relativistically admissible velocities endowed with Einstein's addition …

On quasi gyrolinear maps between Möbius gyrovector spaces induced from finite matrices

K Watanabe - Symmetry, 2021 - mdpi.com
We present some fundamental results concerning to continuous quasi gyrolinear operators
between Möbius gyrovector spaces induced by finite matrices. Such mappings are …

On Lipschitz continuity with respect to the Poincaré metric of linear contractions between Möbius gyrovector spaces

K Watanabe - Journal of Inequalities and Applications, 2021 - Springer
For every linear operator between inner product spaces whose operator norm is less than or
equal to one, we show that the restriction to the Möbius gyrovector space is Lipschitz …

Isomorphism of binary operations in differential geometry

NE Barabanov - Symmetry, 2020 - mdpi.com
We consider smooth binary operations invariant with respect to unitary transformations that
generalize the operations of the Beltrami–Klein and Beltrami–Poincare ball models of …

Möbius gyrovector spaces and functional analysis (Research on preserver problems on Banach algebras and related topics)

K WAtAnABE - 数理解析研究所講究録別冊, 2023 - repository.kulib.kyoto-u.ac.jp
Möbius gyrovector spaces and functional analysis (Research on preserver problems on Banach
algebras and related topics) Page 1 RIGHT: URL: CITATION: AUTHOR(S): ISSUE DATE: TITLE …