Abstract
This paper deals with local and global characterizations of Euclidean hyperspheres by using relative normalizations of locally strongly convex hypersurfaces in the Euclidean space ℝn+1. Especially we get characterizations of Euclidean hyperspheres by using terms of affine differential geometry and terms of differential geometry with respect to the Euclidean second fundamental form.
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HERRN PROFESSOR DR. H. BRAUNER ZUM 60. GEBURTSTAG GEWIDMET
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Manhart, F. Relativgeometrische Kennzeichnungen euklidischer Hypersphären. Geom Dedicata 29, 193–207 (1989). https://doi.org/10.1007/BF00182120
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DOI: https://doi.org/10.1007/BF00182120