isFinslerMetric
P64355
predicate
Indicates that a given structure on a manifold defines a Finsler metric, i.e., a norm on each tangent space that varies smoothly and satisfies the Finsler metric axioms.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isFinslerMetric canonical | 1 |
| isFinslerType | 1 |
| isLocalFinslerMetricOn | 1 |
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: isFinslerMetric
Generated description
Indicates that a given structure on a manifold defines a Finsler metric, i.e., a norm on each tangent space that varies smoothly and satisfies the Finsler metric axioms.
Sample triples (3)
| Subject | Object |
|---|---|
| Carathéodory metric | true ⓘ |
| Kobayashi metric | true via predicate surface "isFinslerType" ⓘ |
| Kobayashi metric | tangent bundle of a complex manifold via predicate surface "isLocalFinslerMetricOn" ⓘ |