definition 13.36 Geodesic curvature vector
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1699
· p. 471
- ground object -- no derivation owed
Rests on
-
depends_on
definition 13.13
Normal curvature vector of a curve
¶
-
depends_on
definition 13.12
Unit tangent vector
¶
- depends_on definition 13.11 Arc length ¶
- depends_on definition 13.9 Tangent vector to a curve ¶ ↺
-
depends_on
definition 13.12
Unit tangent vector
¶
-
depends_on
definition 13.28
Normal curvature vector of a surface
¶
- depends_on definition 13.13 Normal curvature vector of a curve ¶ ↺
- depends_on definition 13.20 Unit normal vector of a surface ¶
- depends_on definition 13.35 Projection curve ¶
Supports
- depends_on definition 13.37 Geodesic lines ¶
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 |
→ | Normal curvature vector of a curve | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1703 |
depends_on |
→ | Normal curvature vector of a surface | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1703 |
depends_on |
→ | Projection curve | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1703 |
depends_on |
← | Geodesic lines | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1837 |