Some notes on directional curvature of a convex body in ℝn

DOI10.1080/02331934.2022.2052289zbMath1500.52003OpenAlexW4221051946MaRDI QIDQ5044102

Fátima F. Pereira

Publication date: 24 October 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2022.2052289

zbMATH Keywords

duality mappingcurvatureconvex setMinkowski functionaltangent vector

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Differential geometry of intersection curves in \(\mathbb{R}^{4}\) of three implicit surfaces
• On the curvatures of convex bodies
• Differential geometry of intersection curves of two surfaces
• A directional curvature formula for convex bodies in \(\mathbb{R}^n\)
• Curvature formulas for implicit curves and surfaces
• Locally Uniformly Convex Banach Spaces
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