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22 godz. temu · The -sphere with the round metric is an embedded Riemannian submanifold of +.. Let (,) be a Riemannian manifold and let : be an immersed submanifold or an embedded submanifold of .The pullback of is a Riemannian metric on , and (,) is said to be a Riemannian submanifold of (,).. In the case where , the map : is given by () = and the metric is just the restriction of to vectors tangent along .
