Overview
We are interested in Non-Euclidean Geometries possibly with Non-Trivial Topologies.
In this context, the ambient space is defined mathematically as a Three-Dimensional Riemannian Manifold. Consequently, since the underlying geometry is not flat, rays in such spaces are “curved”.
Graph of Functions
Space geometry modeled as the three-dimensional graph of a function of three variables.
Local Diffeomorphisms
Space geometry modeled using a general deformation of the 3D space that is localized by a gaussian bump function.
