On completeness in affine differential geometry (Q1072110)

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scientific article; zbMATH DE number 3942372
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English
On completeness in affine differential geometry
scientific article; zbMATH DE number 3942372

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    On completeness in affine differential geometry (English)
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    1986
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    The author considers different notions of completeness in affine differential geometry. He gives an example of a spacelike surface M in \({\mathbb{R}}^ 3\), where \({\mathbb{R}}^ 3\) carries the Lorentz-Minkowski- metric, such that the induced metric on M is complete, but the equiaffine metric of M is not complete.
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    completeness of connections
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    spacelike surface
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    equiaffine metric
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