consider a $2n$-dimensional manifold $\mathcal{M}$ With a volume element $\omega$. Now consider a $(2n-2)$-dimensional submanifold $\mathcal{N}$. How one can define a volume on $\mathcal{N}$ based on $\omega$. Is the induced volume unique?
2026-03-29 10:48:26.1774781306
Is the induced volume on submanifolds unique?
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