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 ...

Application of tools from differential geometry and Lie groups to problems in dynamics, controllability, and motion planning for mechanical systems, particularly with non-Euclidean configuration ...

Differential geometry of curves and surfaces examines how smooth lines and two-dimensional manifolds bend and twist within ambient spaces. Beginning with the pioneering work on Frenet–Serret formulae ...

THE distinctive feature of Prof. Weatherburn's treatment is the great use that is made of vector analysis. At first sight a page full of terms such as div, rot, grad, and dyadic looks rather alarming, ...