Some topics in differential geometry of normed spaces

DOI10.1515/advgeom-2020-0001OpenAlexW3007422882WikidataQ115237034 ScholiaQ115237034MaRDI QIDQ2664128

Horst Martini, Vitor Balestro, Ralph C. Teixeira

Publication date: 20 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01399

zbMATH Keywords

minimal surfaceBirkhoff-Gauss map(weighted) Dupin metricconstant width surfaceMinkowskian Gauss curvatureperimeter of a normed space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometry and structure of normed linear spaces (46B20) 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) Non-Euclidean differential geometry (53A35) Affine differential geometry (53A15)

Related Items (3)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Orthogonality Types in Normed Linear Spaces ⋮ Surface immersions in normed spaces from the affine point of view

Cites Work

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• The foundations of Minkowskian geometry
• Differential Geometry from a Singularity Theory Viewpoint
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• The geometry of Minkowski spaces -- a survey. I

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