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Third fundamental form : ウィキペディア英語版
Third fundamental form

In differential geometry, the third fundamental form is a surface metric denoted by \mathbf. Unlike the second fundamental form, it is independent of the surface normal.
==Definition==

Let S be the shape operator and M be a smooth surface. Also, let \mathbf_p and \mathbf_p be elements of the tangent space T_pM. The third fundamental form is then given by
:
\mathbf(\mathbf_p,\mathbf_p)=S(\mathbf_p)\cdot S(\mathbf_p)\,.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Third fundamental form」の詳細全文を読む



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