example 13.86 A curve
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4123
· p. 503
- example -- no derivation owed by its kind
Rests on
-
depends_on
definition 13.71
Differentiable curve
¶
-
depends_on
definition 13.48
Differentiable manifold
¶
-
depends_on
definition 13.47
Differentiable structure
¶
-
depends_on
definition 13.44
Atlas
¶
- depends_on definition 13.43 Coordinate system ¶
-
depends_on
definition 13.44
Atlas
¶
-
depends_on
definition 13.47
Differentiable structure
¶
-
depends_on
definition 13.48
Differentiable manifold
¶
-
depends_on
definition 13.82
Vector field
¶
-
depends_on
definition 13.81
Vector on a manifold
¶
- depends_on definition 13.71 Differentiable curve ¶ ↺
-
depends_on
definition 13.45
Differentiable map on a topological space
¶
- depends_on definition 13.44 Atlas ¶ ↺
- depends_on definition 13.43 Coordinate system ¶ ↺
- depends_on definition 13.48 Differentiable manifold ¶ ↺
-
depends_on
definition 13.81
Vector on a manifold
¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Differentiable curve | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4143 |
depends_on |
→ | Vector field | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4143 |