 Laplacian of a restricted ambient function

ID: laplacian-of-a-restricted-ambient-function

Codex  0 Created 2026-09-24 Updated 2026-09-24

M \subseteq R^{n + m}

and

f

is smooth in the ambient space, then

Δ_{M} (f ∣_{M}) = tr_{TM} (\overline{Hess} f) + ⟨ \overline{\nabla} f, H ⟩ .

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