Sub-Riemannian geometry is a branch of differential geometry in which the motion of a system is constrained to lie within a specified distribution of allowable directions on a manifold. Unlike its ...

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 ...

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 ...

Why Riemannian Geometry Fell Short The assumption that perceived color space is Riemannian became so widespread that it shaped international color standards still in use. In 1974, H.L. Resnikoff ...