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- Bernhard Riemann - Wikipedia
The subject founded by this work is Riemannian geometry Riemann found the correct way to extend into n dimensions the differential geometry of surfaces, which Gauss himself proved in his theorema egregium The fundamental objects are called the Riemannian metric and the Riemann curvature tensor
- Bernhard Riemann | | Britannica
Riemann argued that the fundamental ingredients for geometry are a space of points (called today a manifold) and a way of measuring distances along curves in the space
- Biography:Bernhard Riemann - HandWiki
Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] (listen); 17 September 1826 – 20 July 1866) was a German mathematician who made profound contributions to analysis, number theory, and differential geometry
- Riemann, Georg Friedrich Bernhard | Larson Calculus . . .
Successfully defending the thesis under questioning by Gauss, Riemann was awarded his doctorate in 1851 Riemann’s mathematical research quickly led him to important discoveries in the fields of number theory, analysis, and non-Euclidean geometry
- Bernhard Riemann Biography - Life of German Mathematician
Riemann argued that fundamental ingredients of geometry include space of points and it involves measuring distances along lines or curves in that space As per Riemann, the space does not need to be simple Euclidean space, but it could have many dimensions, even infinite dimensions
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