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An intrinsic characterization of developable surfaces - MaRDI portal

An intrinsic characterization of developable surfaces (Q1895221)

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scientific article; zbMATH DE number 785200
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English
An intrinsic characterization of developable surfaces
scientific article; zbMATH DE number 785200

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    An intrinsic characterization of developable surfaces (English)
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    15 August 1995
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    The present paper deals with characterizations of the three types of developable surfaces (without planar points) in affine 3-space, using the induced connection. It is shown that certain torsion-free connections on 2-dimensional Riemannian manifolds can be realized on surfaces of type number one (i.e. the rank of the second fundamental form is one).
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    affine connections
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    developable surfaces
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