Topics in Geometry¶
OpenCourseWare, M. (2026). Topics in Geometry: Distributions and the Frobenius Theorem.
Cited by¶
1 citation across 1 artifact.
Domain-specific¶
- Distribution (Differential Geometry)
- In differential geometry, a distribution Δ on a smooth manifold (M) assigns to each point (x\in M) a vector subspace Δₓ of the tangent space (T_xM), with the assignment varying smoothly.
Supported in partVerified against the work's full text
Confirms the frame: the notes treat Δ as a distribution in the tangent bundle spanned at each point by a smooth C∞(M)-module, but no held passage states the definition itself.
“More generally, let Δ ⊂ T be a distribution on non-constant rank spanned by an nvolutive C∞(M ) module D⊂ C∞(T ) at each point.”
- In differential geometry, a distribution Δ on a smooth manifold (M) assigns to each point (x\in M) a vector subspace Δₓ of the tangent space (T_xM), with the assignment varying smoothly.
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