Classical differential geometry studies curves and surfaces in three-dimensional space, while modern differential geometry begins to study manifold, a more general space.
Differential geometry is closely related to other branches of mathematics such as topology and has an important influence on the development of physics. Einstein's general theory of relativity is based on Riemann geometry in differential geometry.
Chinese name
differential geometry
Foreign name
differential geometry
definition
The theory of calculus studies the geometric properties of space.
classify
Classical differential, modern differential
research objects
Differential geometric smoothing curve (surface)
classify
mathematics