A Gyrovector Space Approach to Hyperbolic GeometryGyrovector Spaces
A Gyrovector Space Approach to Hyperbolic Geometry: Gyrovector Spaces
Ungar, Abraham Albert
2009-01-01 00:00:00
[Some gyrocommutative gyrogroups admit scalar multiplication, giving rise to gyrovector spaces. The latter, in turn, are analogous to vector spaces just as gyrogroups are analogous to groups and gyrocommutative gyrogroups are analogous to commutative groups. Indeed, we will find in this book that gyrovector spaces provide the algebraic setting for hyperbolic geometry just as vector spaces provide the algebraic setting for Euclidean geometry.]
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pnghttp://www.deepdyve.com/lp/springer-journals/a-gyrovector-space-approach-to-hyperbolic-geometry-gyrovector-spaces-ZcQAFa0Sqy
A Gyrovector Space Approach to Hyperbolic GeometryGyrovector Spaces
[Some gyrocommutative gyrogroups admit scalar multiplication, giving rise to gyrovector spaces. The latter, in turn, are analogous to vector spaces just as gyrogroups are analogous to groups and gyrocommutative gyrogroups are analogous to commutative groups. Indeed, we will find in this book that gyrovector spaces provide the algebraic setting for hyperbolic geometry just as vector spaces provide the algebraic setting for Euclidean geometry.]
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