Although we can picture the surface of a sphere or doughnut, hyperbolic surfaces have such strange geometric properties that they’re impossible to visualize. But they’re also important to understand, ...

The product of their two curvatures at each point is -1 everywhere. So in a sense they are the opposite (or hyperbolic counterpart) of an ordinary sphere. Here is the simplest one: One nice thing ...

Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 ...

McLenaghan) Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space ... McLenaghan) Equivalence problem for the orthogonal webs on the 3-sphere, J. Math. Phys, 52, ...