Über die Hypothesen, welche der Geometrie zu Grunde liegen
E47356
"Über die Hypothesen, welche der Geometrie zu Grunde liegen" is Bernhard Riemann’s seminal 1854 lecture that founded Riemannian geometry and revolutionized the understanding of space in mathematics and physics.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
foundational text in geometry
→
mathematical lecture → scientific work → |
| anticipated |
geometrization of gravitation
→
use of curved spacetime in physics → |
| author |
Bernhard Riemann
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|
| authorOccupation |
mathematician
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|
| considered |
foundational work of Riemannian geometry
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milestone in history of geometry → revolutionary for concept of space → |
| context |
habilitation lecture
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|
| countryOfOrigin |
Kingdom of Hanover
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| dateOfLecture |
1854
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| field |
differential geometry
→
foundations of geometry → geometry → mathematical physics → mathematics → |
| hasKeyConcept |
line element
→
local vs global properties of space → |
| impactOn |
development of differential geometry
→
general relativity → mathematical physics → modern geometry → |
| influencedBy |
Carl Friedrich Gauss
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Euclidean geometry → non-Euclidean geometry → |
| introduces |
Riemannian geometry
→
Riemannian manifold → Riemannian metric → concept of n-dimensional manifold → variable curvature of space → |
| language |
German
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|
| laterPublishedIn |
Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen
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| originalTitle |
Über die Hypothesen, welche der Geometrie zu Grunde liegen
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|
| philosophicalAspect |
nature of space
→
relation between geometry and physical reality → |
| placeOfLecture |
Georg-August-Universität Göttingen
NERFINISHED
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Göttingen → |
| publicationType |
journal article
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|
| purpose |
habilitation in mathematics
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|
| supervisor |
Carl Friedrich Gauss
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| titleInEnglish |
On the Hypotheses which Lie at the Foundations of Geometry
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|
| topic |
axioms of geometry
→
curved spaces → foundations of space and geometry → generalization of Euclidean geometry → metric structure of space → |
| year |
1854
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|
Referenced by (3)
| Subject (surface form when different) | Predicate |
|---|---|
|
Bernhard Riemann
→
Friedrich Bernhard Riemann ("Habilitation thesis on the hypotheses which lie at the foundations of geometry") → |
notableWork |
|
Über die Hypothesen, welche der Geometrie zu Grunde liegen
→
|
originalTitle |