# Some recent developments in differential geometry

```@article{White1989SomeRD,
title={Some recent developments in differential geometry},
author={Brian White},
journal={The Mathematical Intelligencer},
year={1989},
volume={11},
pages={41-47}
}```
• B. White
• Published 1 September 1989
• Mathematics
• The Mathematical Intelligencer
Until recently differential geometry was the s tudy of fixed curves or surfaces in space and of abstract manifolds with fixed Riemannian metrics. Now geometers have begun to s tudy curves and surfaces that are subjected to various forces and that flow or evolve with time in response to those forces. Perhaps the simplest example (but already a very subtle one) is the curve-shortening flow. Consider a simple closed curve in the plane, and suppose that it moves so that the velocity at each point… Expand
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