definition 23.15 Orthogonal Hamiltonian

open in the book · parts/03-classical-mechanics/06-hamilton-jacobi.tex:459 · p. 828

Rests on

depends_on definition 22.2 Hamiltonian ¶
- depends_on definition 21.34 Generalized momentum ¶
- depends_on definition 21.31 Lagrangian ¶
depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
- 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 13.84 Tensor ¶
  - depends_on definition 13.83 Covector ¶
    - 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 13.48 Differentiable manifold ¶ ↺
  - depends_on definition 13.81 Vector on a manifold ¶ ↺

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Hamiltonian	declared	parts/03-classical-mechanics/06-hamilton-jacobi.tex:472
`depends_on`	→	Metric tensor of signature $(p,q)$	declared	parts/03-classical-mechanics/06-hamilton-jacobi.tex:472