Vorlesungen über Differentialgeometrie
E853123
Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Vorlesungen über Differentialgeometrie canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10269901 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Vorlesungen über Differentialgeometrie Context triple: [Wilhelm Blaschke, notableWork, Vorlesungen über Differentialgeometrie]
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A.
"Vorlesungen über Differentialgeometrie"
"Vorlesungen über Differentialgeometrie" is a foundational textbook on differential geometry authored by the influential German mathematician Heinz Hopf.
-
B.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
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C.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
D.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
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E.
Theorie der Transformationsgruppen
Theorie der Transformationsgruppen is Sophus Lie’s foundational multi-volume work that established the theory of continuous transformation groups, now known as Lie groups, and their applications to differential equations and geometry.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Vorlesungen über Differentialgeometrie Target entity description: Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
-
A.
"Vorlesungen über Differentialgeometrie"
"Vorlesungen über Differentialgeometrie" is a foundational textbook on differential geometry authored by the influential German mathematician Heinz Hopf.
-
B.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
C.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
D.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
E.
Theorie der Transformationsgruppen
Theorie der Transformationsgruppen is Sophus Lie’s foundational multi-volume work that established the theory of continuous transformation groups, now known as Lie groups, and their applications to differential equations and geometry.
- F. None of above. chosen
Statements (32)
| Predicate | Object |
|---|---|
| instanceOf |
book series
ⓘ
mathematics textbook ⓘ work of differential geometry ⓘ |
| associatedWith | University of Hamburg NERFINISHED ⓘ |
| author | Wilhelm Blaschke NERFINISHED ⓘ |
| countryOfOrigin | Germany ⓘ |
| field |
differential geometry
ⓘ
mathematics ⓘ |
| genre | textbook ⓘ |
| hasAudience |
advanced undergraduates in mathematics
ⓘ
graduate students in mathematics ⓘ researchers in differential geometry ⓘ |
| hasPart |
Vorlesungen über Differentialgeometrie, Volume 1
NERFINISHED
ⓘ
Vorlesungen über Differentialgeometrie, Volume 2 NERFINISHED ⓘ Vorlesungen über Differentialgeometrie, Volume 3 NERFINISHED ⓘ |
| historicalSignificance | classic reference in differential geometry ⓘ |
| influenced |
development of differential geometry in the 20th century
ⓘ
later textbooks in differential geometry ⓘ teaching of differential geometry in the 20th century ⓘ |
| mathematicalTradition | German school of geometry ⓘ |
| notableFor |
influence on geometric thinking in the early 20th century
ⓘ
systematic treatment of differential geometry ⓘ |
| originalLanguage | German ⓘ |
| publicationCentury | 20th century ⓘ |
| timePeriod | first half of the 20th century ⓘ |
| topic |
Riemannian geometry
ⓘ
affine differential geometry ⓘ classical differential geometry ⓘ curves ⓘ projective differential geometry ⓘ surfaces ⓘ |
| usedAs | university textbook ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Vorlesungen über Differentialgeometrie Description of subject: Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.