loxodromic transformations

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:actsOn gptkb:Riemann_sphere
gptkbp:appearsIn complex dynamics
theory of discrete groups
gptkbp:defines A Möbius transformation with two fixed points and not conjugate to a rotation or translation
gptkbp:field gptkb:hyperbolic_geometry
complex analysis
Kleinian groups
gptkbp:hasProperty composition of a dilation and a rotation
no fixed points in the complex plane
two fixed points on the Riemann sphere
https://www.w3.org/2000/01/rdf-schema#label loxodromic transformations
gptkbp:namedFor gptkb:Felix_Klein
gptkbp:relatedTo elliptic transformations
hyperbolic transformations
parabolic transformations
gptkbp:type gptkb:Möbius_transformation
gptkbp:bfsParent gptkb:Möbius_group
gptkbp:bfsLayer 7