isSmoothManifold
P152475
predicate
Indicates that the entity is a manifold whose local structure is modeled on smooth Euclidean space and whose transition maps are infinitely differentiable.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isSmoothManifold canonical | 1 |
| manifoldType | 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: isSmoothManifold
Generated description
Indicates that the entity is a manifold whose local structure is modeled on smooth Euclidean space and whose transition maps are infinitely differentiable.
Sample triples (2)
| Subject | Object |
|---|---|
|
general linear group GL(n,R)
surface form:
GL(n,ℝ)
|
true ⓘ |
|
Nirenberg problem in differential geometry
surface form:
Nirenberg problem
|
sphere via predicate surface "manifoldType" ⓘ |