A 150-year-old rule in geometry has been proven wrong. Mathematicians found two different doughnut-shaped surfaces that look ...

A 150-year-old geometry rule has been overturned after mathematicians found two different torus surfaces with identical metric and curvature.

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

The study of algebraic structures and differential geometry has evolved into a dynamic interdisciplinary field that synthesises abstract algebraic concepts with the smooth variability of geometric ...

In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Professor Pekka Pankka. Geometry, Algebra, and Topology are pure mathematics and essential ...

I work in differential geometry and the application of geometry to the study of partial differential equations. Specifically, my work has focused on conservation laws, Backlund transformations, ...