Let $(M,g)$ and $(N,h)$ be two Riemannian manifolds . Suppose $f: M\to N$ be an embedding then
Is there relation between angle of two vectors in $M$ and its images in $N$?
2026-05-15 13:57:21.1778853441
Angle between two vectors under embedding
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No. The only thing you can say is that linearly independent vectors map to linearly independent vectors. Of course, if $f$ is an isometric embedding, then the angles will match.