Dual spheres have the same girth

DOI10.1353/ajm.2006.0015zbMath1106.46010arXivmath/0408414OpenAlexW2131776120MaRDI QIDQ5477603

Juan Carlos Álvarez Paiva

Publication date: 5 July 2006

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408414

zbMATH Keywords

geodesicgirthsystolelength spectrumdual unit sphereco-disc bundleexact contactomorphism

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Global theory of symplectic and contact manifolds (53D35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ The isoperimetrix in the dual Brunn-Minkowski theory ⋮ Contact integral geometry and the Heisenberg algebra ⋮ Billiards in Finsler and Minkowski geometries

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