Affine Focal Points for Locally Strictly Convex Surfaces in 4-Space
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DOI: 10.1007/s00025-016-0606-z
Abstract: We consider locally strictly convex surfaces M in affine 4-space. By using the metric of the transversal vector field on M we introduce a new affine normal plane and the familly of affine distance functions… read more here.
Keywords: affine focal; strictly convex; locally strictly; affine normal ... See more keywords
Parallel Locally Strictly Convex Surfaces in Four-Dimensional Affine Space Contained in Hyperquadrics
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DOI: 10.3390/sym13091575
Abstract: Locally strictly convex surfaces in four-dimensional affine space are studied from a perspective of the affine structure invented by Nuño-Ballesteros and Sánchez, which is especially suitable in convex geometry. The surfaces that are embedded in… read more here.
Keywords: strictly convex; locally strictly; four dimensional; affine ... See more keywords