hasCurvatureInvariant

P4461
predicate

Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.

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All labels observed (25)

Label Occurrences
hasInvariant 88
hasCurvature 16
curvature 3

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: hasCurvatureInvariant
Generated description
Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.

Sample triples (139)

Subject Object
Schwarzschild black hole Kretschmann scalar ⓘ
Schwarzschild metric
linked to: Kretschmann scalar
K = 48 G^2 M^2 / (c^4 r^6) via predicate surface "hasKretschmannScalar" ⓘ
Minkowski space-time zero via predicate surface "curvature" ⓘ
Ricci curvature tensor metric tensor via predicate surface "isLocalInvariantOf" ⓘ
de Sitter spacetime constant positive curvature via predicate surface "hasCurvature" ⓘ
de Sitter spacetime proportional to metric tensor via predicate surface "hasRicciTensor" ⓘ
de Sitter spacetime constant positive value via predicate surface "hasScalarCurvature" ⓘ
de Sitter spacetime zero via predicate surface "hasWeylTensor" ⓘ
de Sitter spacetime constant via predicate surface "hasCurvatureInvariants" ⓘ
Kerr metric Kerr parameter a = J/M via predicate surface "hasInvariant" ⓘ
Kerr metric nonzero Kretschmann scalar ⓘ
BP Pedestrian Bridge S-shaped plan via predicate surface "hasCurvature" ⓘ
Euclidean space zero via predicate surface "hasCurvature" ⓘ
Kähler manifold Riemann curvature tensor has Kähler symmetries via predicate surface "hasCurvatureProperty" ⓘ
Poincaré group Minkowski interval via predicate surface "hasInvariant" ⓘ
Poincaré group speed of light via predicate surface "hasInvariant" ⓘ
Poincaré group mass Casimir operator via predicate surface "hasInvariant" ⓘ
Poincaré group spin Casimir operator via predicate surface "hasInvariant" ⓘ
Gaussian curvature sphere of radius R has K = 1/R^2 via predicate surface "exampleConstantCurvatureSurface" ⓘ
Gaussian curvature Euclidean plane has K = 0 via predicate surface "exampleConstantCurvatureSurface" ⓘ
linked to: Euclidean space
Gaussian curvature hyperbolic plane has K < 0 via predicate surface "exampleConstantCurvatureSurface" ⓘ
Lorentz group spacetime interval via predicate surface "hasInvariant" ⓘ
Lorentz group light cone structure via predicate surface "hasInvariant" ⓘ
Bardeen black hole model finite everywhere via predicate surface "hasCurvatureInvariants" ⓘ
Riemann surface
linked to: Riemann surfaces
genus via predicate surface "hasInvariant" ⓘ
Riemann surface
linked to: Riemann surfaces
Euler characteristic via predicate surface "hasInvariant" ⓘ
linked to: Euler’s polyhedron formula
Riemann surface
linked to: Riemann surfaces
fundamental group via predicate surface "hasInvariant" ⓘ
Riemann surface
linked to: Riemann surfaces
conformal structure via predicate surface "hasInvariant" ⓘ
Riemann surface
linked to: Riemann surfaces
complex structure via predicate surface "hasInvariant" ⓘ
spacetime manifold spacetime curvature via predicate surface "hasCurvature" ⓘ
Abelian group
linked to: Abelian groups
rank of an Abelian group via predicate surface "hasInvariant" ⓘ
Abelian group
linked to: Abelian groups
torsion subgroup via predicate surface "hasInvariant" ⓘ
Abelian group
linked to: Abelian groups
primary decomposition for finite Abelian groups via predicate surface "hasInvariant" ⓘ
Echo Wall continuous circular arc via predicate surface "hasCurvature" ⓘ
Gödel metric constant scalar curvature via predicate surface "hasCurvature" ⓘ
Cartan subalgebras rank of the Lie algebra via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold Hodge numbers via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold Euler characteristic via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold fundamental group via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold Picard number via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold Kähler cone via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold complex structure moduli via predicate surface "hasInvariant" ⓘ
Calabi–Yau manifold Kähler moduli via predicate surface "hasInvariant" ⓘ
anti-de Sitter space constant negative curvature via predicate surface "hasCurvature" ⓘ
anti-de Sitter space negative via predicate surface "hasSectionalCurvatureSign" ⓘ
anti-de Sitter space true via predicate surface "hasConstantScalarCurvature" ⓘ
anti-de Sitter space constant negative sectional curvature via predicate surface "hasCurvatureType" ⓘ
Grey Street sweeping curve via predicate surface "hasCurvature" ⓘ
Gauss’s remarkable theorem sectional curvature in dimension two via predicate surface "typeOfCurvature" ⓘ
cyclotomic field
linked to: cyclotomic fields
Euler totient φ(n) as its degree over Q via predicate surface "hasInvariant" ⓘ