Photo from wikipedia
Abstract A soft presentation of hyperbolic spaces (as metric spaces), free of differential apparatus, is offered. Fifth Euclid’s postulate in such spaces is overthrown and, among other things, it is… Click to show full abstract
Abstract A soft presentation of hyperbolic spaces (as metric spaces), free of differential apparatus, is offered. Fifth Euclid’s postulate in such spaces is overthrown and, among other things, it is proved that spheres (equipped with great-circle distances) and hyperbolic and Euclidean spaces are the only locally compact geodesic (i.e., convex) metric spaces that are three-point homogeneous.
Keywords:
non differential;
geometry;
hyperbolic geometry;
differential topologists;
geometry non
Journal Title: Mathematica Slovaca
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematica Slovaca
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!