Hyperplanes, parallelism, and related problems in Veronese spaces

Authors : Krzysztof Petelczyc, Krzysztof Prazmowski, Malgorzata Prazmowska, Mariusz Zynel

Pages : 1221-1235

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :We determine hyperplanes in Veronese spaces associated with projective spaces and polar spaces, and we analyze the geometry of parallelisms induced by these hyperplanes. We also discuss whether or not parallelisms on Veronese spaces associated with affine spaces can be imposed.
Keywords : Veronese space, projective space, affine space, polar space, partial linear space, affine partial linear space, hyperplane, correlation