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 ...

Differential Geometry. Prerequiste: MATH 224. This course studies the geometry of curves and surfaces in Euclidean space: intrinsic and extrinsic geometry, curvature, structural equations of ...

DIFFERENTIAL geometry is a technical and rather forbidding term, but the subject is of the highest interest, and not to mathematicians alone. It includes the whole theory of mapdrawing; it is required ...

DIFFERENTIAL geometry is a fascinating subject, because it gives us vivid and picturesque embodiments of theorems obtained by the combination of several branches of pure analysis, such as algebra, ...

ABSTRACT: Road traffic accidents are one of the global safety and socioeconomic challenges. According to WHO (2024), it has caused over 1.19 million annual fatalities. It is also projected to cause ...

This course introduces to some of the central themes of modern Differential Geometry. We start with the important model case of surfaces and their particularly nice curvature geometry. After a short ...

In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She calculated that collisions involving three different types of subatomic ...

Origami structures with morphing behaviours and unique mechanical properties are useful in aerospace deployable structures, soft robots and mechanical metamaterials. Curved-crease origami, as one of ...

After more than a decade of research and teaching in the United States, Chinese-born maths star Sun Song has joined a university in eastern China as a full-time professor. The 36-year-old geometer ...