Second Fundamental Form

Second Fundamental Form - See also second fundamental form. The first and second fundamental forms. Web the second fundamental form. Web the second fundamental form of a general parametric surface is defined as follows. Web the form $ \textrm { ii } $ is called the second fundamental form of the surface. Web the first fundamental form is an intrinsic quantity, the second is an extrinsic. Web for m in r^3, the second fundamental form is the symmetric bilinear form on the tangent space m_ (p), ii (v_ (p),w_ (p))=s (v_ (p))·w_ (p), (1) where s is the. Let r = r(u,v) be a regular parametrization of a surface in r3, where r is a smooth vector. U ⊂ ir3 → ir be a smooth function defined on an open subset of ir3. Fix p ∈ u and x ∈ tpir3.

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Web the first fundamental form is an intrinsic quantity, the second is an extrinsic. Web the second fundamental form of a general parametric surface is defined as follows. Web for m in r^3, the second fundamental form is the symmetric bilinear form on the tangent space m_ (p), ii (v_ (p),w_ (p))=s (v_ (p))·w_ (p), (1) where s is the. See also second fundamental form. Let r = r(u,v) be a regular parametrization of a surface in r3, where r is a smooth vector. In other words, the 1st fundamental form is something a creature embedded in. U ⊂ ir3 → ir be a smooth function defined on an open subset of ir3. The first and second fundamental forms. Fix p ∈ u and x ∈ tpir3. Web the second fundamental form. Web the form $ \textrm { ii } $ is called the second fundamental form of the surface.

The First And Second Fundamental Forms.

Web for m in r^3, the second fundamental form is the symmetric bilinear form on the tangent space m_ (p), ii (v_ (p),w_ (p))=s (v_ (p))·w_ (p), (1) where s is the. Web the first fundamental form is an intrinsic quantity, the second is an extrinsic. Fix p ∈ u and x ∈ tpir3. Web the second fundamental form of a general parametric surface is defined as follows.

Web The Second Fundamental Form.

Let r = r(u,v) be a regular parametrization of a surface in r3, where r is a smooth vector. In other words, the 1st fundamental form is something a creature embedded in. U ⊂ ir3 → ir be a smooth function defined on an open subset of ir3. Web the form $ \textrm { ii } $ is called the second fundamental form of the surface.

See Also Second Fundamental Form.

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