Monochromatic Finsler surfaces and a local ellipsoid characterization

DOI10.1090/proc/13894zbMath1427.52005arXiv1702.03340OpenAlexW2603697413MaRDI QIDQ3132804

Sergei Ivanov

Publication date: 30 January 2018

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

Full work available at URL: https://arxiv.org/abs/1702.03340

zbMATH Keywords

second fundamental formellipsoid characterizationFinsler surfaceBanach-Minkowski space

Mathematics Subject Classification ID

Local submanifolds (53B25) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (4)

The Weyl principle on the Finsler frontier ⋮ Banach's isometric subspace problem in dimension four ⋮ Characteristic properties of ellipsoids and convex quadrics ⋮ Monochromatic metrics are generalized Berwald

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On intrinsic geometry of surfaces in normed spaces
• On Finsler geometry of submanifolds
• Differential forms and applications. Transl. from the Portuguese
• Monochromatic metrics are generalized Berwald
• Sur une propriété caractéristique de l'ellipsoïde
• Convex and Discrete Geometry
• The Characterization of Plane Collineations in Terms of Homologous Families of Lines

This page was built for publication: Monochromatic Finsler surfaces and a local ellipsoid characterization