The Sprawl Conjecture for Convex Bodies

DOI10.1080/10586458.2013.746618zbMath1270.52006OpenAlexW2030615875WikidataQ122902701 ScholiaQ122902701MaRDI QIDQ5299894

Samuel Lelièvre, Christopher Mooney, Moon Duchin

Publication date: 24 June 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2013.746618

zbMATH Keywords

curvature conditionsconvex geometryaffine isoperimetric problems

Mathematics Subject Classification ID

Metric geometry (51F99) Isoperimetric problems for polytopes (52B60) General theory of distance geometry (51K05) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Connectedness of spheres in Cayley graphs ⋮ Statistical hyperbolicity in groups.

Cites Work

• Statistical hyperbolicity in groups.
• The geometry of spheres in free Abelian groups.
• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• Randomizing properties of convex high-dimensional bodies and some geometric inequalities
• A general rearrangement inequality for multiple integrals
• Ricci curvature of metric spaces

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