EXERCISE 3.10. Are the cone \{(x, y, z) \in \mathbb{R}^3 \mid z^2 = x^2 + y^2, z > 0\} and the cylinder \{(x, y, z) \in \mathbb{R}^3 \mid x^2 + y^2 = 1\} diffeomorphic?
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This represents a double cone with its vertex at the origin and opening along the z-axis. Show more…
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