Derivation of convex surfaces of \(\mathbb R^3\) in Lorentz space and study of their focals

DOI10.1016/j.crma.2010.10.029zbMath1210.52003OpenAlexW1989544481MaRDI QIDQ616741

Yves Martinez-Maure

Publication date: 12 January 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.029

zbMATH Keywords

convex surfaceLorentz-Minkowski spaceBrunn-Minkowski inequalitiesherisson

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (2)

On the concurrent normals conjecture for convex bodies ⋮ New insights on marginally trapped surfaces: the hedgehog theory point of view

Cites Work

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• New notion of index for hedgehogs of \(\mathbb R^3\) and applications
• New geometric inequalities for hedgehogs
• Laguerre geometry of surfaces in \(\mathbb R^3\)
• Weierstrass representations of Laguerre minimal surfaces in \({\mathbb{R}}^3\)

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