Differential Geometry

Differential geometry is an area of mathematics which studies the properties of curved surfaces or manifolds. It is an essential component of the larger field known as differential topology, and is used in a variety of applications, including theoretical physics and engineering. Differential geometry has also been used to study complex shapes and surfaces in architecture, something which has long been an area of interest for mathematicians and designers alike. The research in this field has allowed us to gain a better understanding of the shapes and structures of various objects, allowing us to use them in innovative ways.