Extremal problems in Minkowski space related to minimal networks

DOI10.1090/S0002-9939-96-03370-9zbMath0874.94055arXiv0707.3052OpenAlexW2044833448MaRDI QIDQ4896170

Konrad J. Swanepoel

Publication date: 11 November 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3052

zbMATH Keywords

Minkowski spaceslength-minimizing networks

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Circuits, networks (94C99) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (1)

Sets of unit vectors with small subset sums

Cites Work

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• On the uniform convexity of \(L^p\) and \(l^p\)
• Minimal surfaces, crystals, shortest networks, and undergraduate research
• Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
• Equilateral Sets in Minkowski Spaces
• Uniformly Convex Spaces

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