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Results tagged with riemannian-geometry
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user 64
11
votes
Accepted
Who do I blame for non-Euclidean geometry?
Technically, the first was Lobachevski (published in 1829-30).
Bolyai was independent (published in 1832).
Gauss discovered it independently of both (not published).
A more complicated research is ne …
- 51.1k
7
votes
Accepted
Did Riemann invent the Riemann curvature tensor?
A short answer: yes, he did.
Riemann's habilitation lecture was aimed at a broad non-mathematical audience,
so he did not use formulas in it, trying to explain everything in words. The curvature tens …
- 51.1k
3
votes
Material models of Riemann surfaces
Kharkiv University (Ukraine) subscribed to all models made M. Schilling, who probably was a student of Klein, and who run a company making and selling these models. Currently they photograph them and …
- 51.1k
2
votes
Did the formation of Differential Geometry come before Differential Topology/ Topology in ge...
Yes, differential geometry is older. Though he had predecessors, Gauss can be considered the founding father of differential geometry with his book General investigation of curved surfaces, 1827. This …
- 51.1k
2
votes
What is Metric tensor's origin?
The metric tensor was introduced by Riemann in his lecture:
1854 – Über die Hypothesen, welche der Geometrie zugrunde liegen. There are several English translations, and a comprehensive commentary in …
- 51.1k