proposition 13.38 Geodesics as stationary curves of the arc length
open in the book ·
parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1844
· p. 474
Rests on
- depends_on equation 13.67 eq:mfd-L ¶
- depends_on equation 13.121 eq:mfd-lineasgeo ¶
- depends_on equation 13.87 eq:mfd-sc11 ¶
- proves proof ch:11-manifolds-tensors-curvature@proof-5 ¶
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 |
→ | eq:mfd-L | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1850 |
depends_on |
→ | eq:mfd-lineasgeo | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1850 |
depends_on |
→ | eq:mfd-sc11 | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1850 |
proves |
← | ch:11-manifolds-tensors-curvature@proof-5 | declared | parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:1853 |