differential geometry

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.

differential geometry

noun

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

Example Sentences

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.

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As a mathematician and an author, he specialized in “ergodic theory, Lie groups and differential geometry,” according to a university biography.

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“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.

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François Labourie, a mathematician at the University of Côte d’Azur in France who served on the Abel committee, said that most mathematicians in the middle of the 20th century did not think much of probability, which was at the bottom in the hierarchy of mathematics, below number theory, algebra and differential geometry.

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“Karen is the first person to introduce analytic tools from differential geometry to the study of Yang-Mills equations,” says Alice Chang of Princeton University, who serves on the Abel Prize selection committee.

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