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

Gaspard Monge was the first important contributor, stimulating analytical and differential geometry and founding descriptive geometry in a series of papers and especially in his lectures at the �cole polytechnique.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various