Affine differential geometry of osculating hypersurfaces
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Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space. Various geometric interpretations are given. This yields a affinely invariant consideration of the local properties of a given hypersurface which depend on the derivatives of higher order.
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2020 ◽
Vol 26
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pp. 37
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2021 ◽
Vol 502
(3)
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pp. 3976-3992
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1994 ◽
Vol 36
(2)
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pp. 213-233
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2004 ◽
Vol 14
(08)
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pp. 2979-2990
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