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 affine hypersurfaces occupies a central role in differential geometry, providing deep insights into both the intrinsic and extrinsic properties of submanifolds in affine spaces. This ...

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 ...

A mathematical link between two key equations—one that deals with the very big and the other, the very small—has been developed by a young mathematician in China. The mathematical discipline known as ...

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, ...

The geometry and topology group at UB is traditionally strong in research and mentoring. Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group ...

Daniel Mathews does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

Mathematics in the French Revolution -- Poncelet (and pole and polar) -- Theorems in projective geometry -- Poncelet's traité -- Duality and the duality controversy -- Poncelet and Chasles -- Lambert ...