Über die Hypothesen, welche der Geometrie zu Grunde liegen

E47356

foundational text in geometry mathematical lecture scientific work

"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.

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All labels observed (2)

Label	Occurrences
Über die Hypothesen, welche der Geometrie zu Grunde liegen canonical	2
Habilitation thesis on the hypotheses which lie at the foundations of geometry	1

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 ⓘ
authorOccupation	mathematician ⓘ
considered	foundational work of Riemannian geometry ⓘ milestone in history of geometry ⓘ revolutionary for concept of space ⓘ
context	habilitation lecture ⓘ
countryOfOrigin	Duchy of Brunswick-Lüneburg ⓘ surface form: Kingdom of Hanover
dateOfLecture	1854 ⓘ
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 ⓘ Euclidean space ⓘ surface form: Euclidean geometry non-Euclidean geometry ⓘ
introduces	Riemannian manifolds ⓘ surface form: Riemannian geometry Riemannian manifolds ⓘ surface form: Riemannian manifold Riemannian manifolds ⓘ surface form: Riemannian metric concept of n-dimensional manifold ⓘ variable curvature of space ⓘ
language	German ⓘ
laterPublishedIn	Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen ⓘ
originalTitle	Über die Hypothesen, welche der Geometrie zu Grunde liegen self-link ⓘ
philosophicalAspect	nature of space ⓘ relation between geometry and physical reality ⓘ
placeOfLecture	University of Göttingen ⓘ surface form: Georg-August-Universität Göttingen Göttingen ⓘ
publicationType	journal article ⓘ
purpose	habilitation in mathematics ⓘ
supervisor	Carl Friedrich Gauss ⓘ
titleInEnglish	On the Hypotheses which Lie at the Foundations of Geometry ⓘ
topic	axioms of geometry ⓘ curved spaces ⓘ foundations of space and geometry ⓘ generalization of Euclidean geometry ⓘ metric structure of space ⓘ
year	1854 ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Bernhard Riemann → notableWork → Über die Hypothesen, welche der Geometrie zu Grunde liegen ⓘ

Über die Hypothesen, welche der Geometrie zu Grunde liegen → originalTitle → Über die Hypothesen, welche der Geometrie zu Grunde liegen self-link ⓘ

Friedrich → notableWork → Über die Hypothesen, welche der Geometrie zu Grunde liegen ⓘ

subject surface form: Friedrich Bernhard Riemann

this entity surface form: Habilitation thesis on the hypotheses which lie at the foundations of geometry