math214:hw11
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math214:hw11 [2020/04/15 17:39] pzhou |
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| $$ (\phi, z) \mapsto ((1 + z \sin (\phi/2) ) \cos \phi, (1 + z \sin (\phi/2) ) \sin \phi, z \cos(\phi/ | $$ (\phi, z) \mapsto ((1 + z \sin (\phi/2) ) \cos \phi, (1 + z \sin (\phi/2) ) \sin \phi, z \cos(\phi/ | ||
| Question: is the induced metric on $M$ flat? | Question: is the induced metric on $M$ flat? | ||
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| 3. (Wiggly band): Let $M$ be a submanifold of $\R^3$ defined by the following embedding | 3. (Wiggly band): Let $M$ be a submanifold of $\R^3$ defined by the following embedding | ||
math214/hw11.1586972357.txt.gz · Last modified: 2026/02/21 14:44 (external edit)
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