definition 13.73 Admissible change of parameter
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:3540
· p. 496
- ground object -- no derivation owed
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
definition 13.76
Arclength parametrisation
¶
-
depends_on
definition 13.77
Curvature vector
¶
-
depends_on
proposition 13.78
The curvature vector is orthogonal to the tangent
¶
- depends_on theorem 13.79 Frenet–Serret equations, covariant form ¶
-
depends_on
proposition 13.78
The curvature vector is orthogonal to the tangent
¶
-
depends_on
definition 13.77
Curvature vector
¶
- depends_on proposition 13.75 Invariance of the length ¶
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 |
← | Arclength parametrisation | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:3688 |
depends_on |
← | Invariance of the length | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:3651 |