definition 13.99 $k$-vector

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4795 · p. 511

ground object -- no derivation owed

Rests on

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 13.48 Differentiable manifold ¶
    - depends_on definition 13.45 Differentiable map on a topological space ¶
      - depends_on definition 13.44 Atlas ¶
      - depends_on definition 13.43 Coordinate system ¶
    - depends_on definition 13.48 Differentiable manifold ¶ ↺
- depends_on definition 13.81 Vector on a manifold ¶ ↺
depends_on definition 13.81 Vector on a manifold ¶ ↺

Supports

depends_on definition 13.116 Hodge dual ¶

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`	→	Tensor	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4798
`depends_on`	→	Vector on a manifold	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4798
`depends_on`	←	Hodge dual	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5460