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differential geometry
Sign in to savebranch of mathematics dealing with functions and geometric structures on differentiable manifolds
Differential geometry is a branch of mathematics that studies the properties and structures of curved spaces (called manifolds) using calculus and functions. It matters because it provides the mathematical framework for understanding curved surfaces and spaces, which is essential for applications ranging from physics and engineering to computer graphics and data analysis.
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Wikidata facts
- Subclass of
- geometry
- Part of
- mathematical analysis
- Image
- Line elements.svg
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- Stack Exchange tag
- physics.stackexchange.com/tags/differential-geometry
- topic's main category
- Category:Differential geometry
- Commons category
- Differential geometry
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
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Encyclopedic overview
A triangle immersed in a saddle-shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines
Three-dimensional
Excerpted from Wikipedia’s “differential geometry” article, available under the CC BY-SA 4.0 licence.