geodesicsAre
P22985
predicate
Indicates that certain paths or curves in a space are geodesics, i.e., they locally minimize distance or follow the straightest possible trajectory according to the space’s geometry.
All labels observed (5)
| Label | Occurrences |
|---|---|
| geodesicsAre canonical | 2 |
| geodesicsGivenBy | 1 |
| geodesicsOnUnitDisk | 1 |
| geodesicsOnUpperHalfPlane | 1 |
| isGeodesic | 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: geodesicsAre
Generated description
Indicates that certain paths or curves in a space are geodesics, i.e., they locally minimize distance or follow the straightest possible trajectory according to the space’s geometry.
Sample triples (6)
| Subject | Object |
|---|---|
| Euclidean space | straight lines ⓘ |
| Teichmüller metric | true via predicate surface "isGeodesic" ⓘ |
| Teichmüller metric | Teichmüller geodesics ⓘ |
| Teichmüller metric | integrating quadratic differentials via predicate surface "geodesicsGivenBy" ⓘ |
| Poincaré metric | circles and lines orthogonal to unit circle via predicate surface "geodesicsOnUnitDisk" ⓘ |
| Poincaré metric | vertical lines and semicircles orthogonal to real axis via predicate surface "geodesicsOnUpperHalfPlane" ⓘ |