Suppose there are two open sets $A,B$. $h$ is an isometry. And the function $h$ maps $A$ to $B$; $h(A)=B$. I need to show that isometry is volume preserving.
Any hint would be appreciated!
Thanks in advance!
2026-04-24 20:16:26.1777061786
Does isometry preserve volume on open sets?
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