theorem A.436 Strengthened Jacobi condition and conjugate points
open in the book ·
appendices/A-long-proofs.tex:21469
· p. 3006
Rests on
-
depends_on
definition 16.53
Jacobi accessory equation; conjugate point
¶
- depends_on equation 16.20 eq:calcvar-euler-lagrange ¶
- depends_on equation 16.45 eq:calcvar-second-variation ¶
- depends_on equation 16.49 eq:calcvar-jacobi ¶
- proves proof app:A-long-proofs@proof-266 ¶
Supports
- depends_on corollary A.445 Displacing the initial point ¶
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 |
→ | Jacobi accessory equation; conjugate point | declared | appendices/A-long-proofs.tex:21486 |
depends_on |
→ | eq:calcvar-jacobi | declared | appendices/A-long-proofs.tex:21486 |
depends_on |
← | Displacing the initial point | declared | appendices/A-long-proofs.tex:21968 |
proves |
← | app:A-long-proofs@proof-266 | declared | appendices/A-long-proofs.tex:21842 |