Write an essay on the theory behind the second fundamental form of a parametrized surface

Write an essay on the theory behind the second fundamental form of a parametrized surface

The Second Fundamental Form)DIFFERENTIAL GEOMETRY
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Geometry homework assignment

(The Second Fundamental Form). Write an essay on the theory behind the second fundamental form of a parametrized surface. What is it? How is it useful? What are some helpful ways to think about it?

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