Differential geometry MOC

Scalar field

Let (𝑀,𝒜) be a 𝐶𝛼-manifold. A scalar field or 0-form 𝑓 is just a function 𝑓 ∈𝐶𝛼(𝑀), #m/def/geo/diff i.e. a 𝐶𝛼-differentiable function from 𝑀 to ℝ.

See also

• Differential form

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