differential geometry

American  

noun

Mathematics.

1. the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces.

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differential geometry British  

noun

1. the application of differential calculus to geometrical problems; the study of objects that remain unchanged by transformations that preserve derivatives

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Example Sentences

"This allows us to solve a decades-old problem in differential geometry for surfaces."

From Science Daily • Apr. 22, 2026

Simon Brendle at Columbia University in New York City has won the mathematics Breakthrough prize for his contributions to differential geometry — the study of curves, surfaces and spaces.

From Scientific American • Sep. 15, 2023

“They are a lot of fun,” says Nancy Hingston, a mathematician at the College of New Jersey, who studies paths on such shapes in her work on differential geometry.

From Scientific American • Apr. 26, 2021

In that period of his career, he untangled what he described as a “classical unsolved problem” related to differential geometry and to general relativity.

From Washington Post • May 24, 2015

The phrase I say to people just to get it across is that, among other things, by the second semester we were discussing the differential geometry of Banach manifolds.

From Free as in Freedom: Richard Stallman's Crusade for Free Software by Williams, Sam