A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Standing in the middle of a field, we can ...

In this paper, we obtain some classification theorems for totally umbilical semi-invariant sub-manifolds in locally decomposable metallic Riemannian manifolds. We also prove that there exist no ...

As topologists seek to classify shapes, the effort hinges on how to define a manifold and what it means for two of them to be equivalent. Sorting a collection of shapes is child’s play. Circles here, ...