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gptkbp:instanceOf
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gptkb:mathematical_concept
Non-Euclidean geometry
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gptkbp:appliesTo
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Spherical surfaces
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gptkbp:axiomModification
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gptkb:Parallel_postulate
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gptkbp:contrastsWith
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gptkb:Euclidean_geometry
gptkb:Hyperbolic_geometry
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gptkbp:developedBy
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gptkb:Bernhard_Riemann
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gptkbp:dimensions
|
2
n (generalized)
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gptkbp:feature
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No parallel lines
Sum of triangle angles greater than 180 degrees
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gptkbp:fieldOfStudy
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gptkb:Mathematics
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gptkbp:hasModel
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gptkb:Projective_plane
gptkb:Riemannian_sphere
|
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gptkbp:historicalPeriod
|
19th century
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|
https://www.w3.org/2000/01/rdf-schema#label
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Elliptic geometry
|
|
gptkbp:influencedBy
|
gptkb:Carl_Friedrich_Gauss
gptkb:János_Bolyai
gptkb:Nikolai_Lobachevsky
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|
gptkbp:namedAfter
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Ellipse
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gptkbp:property
|
All lines eventually intersect
Finite area for entire space
No similarity transformations except isometries
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gptkbp:relatedTo
|
gptkb:Spherical_geometry
gptkb:Projective_geometry
|
|
gptkbp:usedIn
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gptkb:General_relativity
|
|
gptkbp:bfsParent
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gptkb:Parallel_postulate
|
|
gptkbp:bfsLayer
|
6
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