What's the surface measure (volume) of the manifold $x_1^2 + x_2^2 = x_3^2 + x_4^2$, $0 \leq x_1^2 + x_2^2 \leq a^2$?
I'm trying to figure this out in terms of an integral of a manifold but can't quite figure out how. Any help would be appreciated!
2026-05-05 02:45:41.1777949141
What's the surface measure (volume) of the manifold $x_1^2 + x_2^2 = x_3^2 + x_4^2$, $0 \leq x_1^2 + x_2^2 \leq a^2$?
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