The Elementary Differential Geometry of Plane Curves. By R. H. Fowler. (Cambridge Tracts in Mathematics and Mathematical Physics. No. 20.) Pp. vii + 105. (Cambridge: At the University Press ...

THE well-known works of Darboux and Bianchi are so excellent, each in its own way, that one might be inclined to doubt whether another text-book on the subject was really required—at least, for ...

The focus topic Differential Geometry and Geometric Analysis is closely related to topology, analysis, stochastics, group theory and to physic, e.g. Einstein's general relativity. A good background in ...

A key objective is to reduce the complex dynamics of fluid motion to the evolution of simpler geometric objects, such as curves ... in Kähler geometry for which we are, for instance, interested in the ...

Geometry is the study of shape, and differential geometry studies shapes ... of fabric and piece them together to fit around the curves of a body, which is the art of draping.

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 ...

When Albert Einstein formulated his theory of gravity, he used mathematics known as pseudo-Riemannian differential geometry. We found in our research that pseudo-Riemannian geometry is not ...

A great deal of Nash’s work was in the field of geometry. But this kind of geometry – differential geometry – is very different from the geometry learned at high school. It is not about ...

But these were special polynomials, the group realized, in that they corresponded to curves twisting and turning on a surface. With that, they had stumbled upon the surfaces at the heart of ...