metricSignature
P15342
predicate
Indicates that one mathematical object (typically a metric or space) has a specific signature characterizing the signs and multiplicities of its metric components.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasMetricSignature | 6 |
| metricSignature canonical | 3 |
| metricSignatureDependent | 2 |
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: metricSignature
Generated description
Indicates that one mathematical object (typically a metric or space) has a specific signature characterizing the signs and multiplicities of its metric components.
Sample triples (11)
| Subject | Object |
|---|---|
| Eddington–Finkelstein coordinates | (-,+,+,+) ⓘ |
| Schwarzschild coordinates | (-,+,+,+) via predicate surface "hasMetricSignature" ⓘ |
| spacetime manifold | Lorentzian signature via predicate surface "hasMetricSignature" ⓘ |
| spacetime manifold | (-,+,+,+) via predicate surface "hasMetricSignature" ⓘ |
| spacetime manifold | (+,-,-,-) via predicate surface "hasMetricSignature" ⓘ |
| Dirac matrices | sign convention of η^{μν} via predicate surface "metricSignatureDependent" ⓘ |
| anti-de Sitter space | (-,+,+,...) via predicate surface "hasMetricSignature" ⓘ |
| Minkowski diagram |
Minkowski metric η_{μν}
ⓘ
surface form:
Minkowski metric
|
| LTB metric | Lorentzian ⓘ |
| dAlembert operator | yes via predicate surface "metricSignatureDependent" ⓘ |
| four-momentum operator | Minkowski metric via predicate surface "hasMetricSignature" NERFINISHED ⓘ |