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October 15th, 2013, 02:50 AM   #1
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Fundamental forms

Let be a parametrization of the graph T_h of Find the first fundamental form for and also compute the second fundamental form.

For the first fundamental form, I got that and Then and

How can I complete this?
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October 15th, 2013, 04:27 AM   #2
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Re: Fundamental forms

I advice that in your final answers, you use instead of \ and insted of as these were the variables given.
So you've computed the first fundamental form;


To get the second fundamental form, you of course need the Gauss map of the graph.
where

Using the formula and the rest is no stress.
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October 15th, 2013, 03:55 PM   #3
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Re: Fundamental forms

Thank you very much!
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