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What is Mathematical Analysis of Submanifolds about?

This document presents several exercises on submanifolds of Rn. Exercise 1 describes a torus of revolution and shows that it is a submanifold of R3. Exercise 2 describes a surface made up of circles and shows that it is a submanifold of R3 in the shape of a torus with two holes. Exercise 3 describes a torus with g holes.

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