They are very concise, and yet they emphasise the geometric considerations which are often obscured by the use of co-ordinates. Differential Geometry of Three Dimensions. By Prof. C. E ...

THIS work, which is primarily a formal treatise on the differential geometry of curves, surfaces, and threefold regions in ordinary homaloidal space of four dimensions, follows fairly closely on ...

From four-dimensional hexagons to the mind-bending amplituhedron, geometrical shapes are wilder than we learn at school - and ...

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, ... such as the plane R^2 or three-dimensional space R^3. However, the configuration (position) ...