The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0

DOI10.1142/S0129167X19500058zbMath1408.53032arXiv1705.03400WikidataQ125579364 ScholiaQ125579364MaRDI QIDQ4625678

Linfeng Zhou

Publication date: 25 February 2019

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

Full work available at URL: https://arxiv.org/abs/1705.03400

zbMATH Keywords

isoperimetric problemBusemann-Hausdorff areaFinsler space forms

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (3)

On isoperimetric problem in 2-dimensional Randers space ⋮ On isoperimetric problem in a 2-dimensional Finsler space of Funk type ⋮ The isoperimetric problem in the 2-dimensional Finsler space forms with 𝑘=0. II

Cites Work

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• Projective spherically symmetric Finsler metrics with constant flag curvature in \(\mathbb {R} ^{n }\)
• A class of Finsler metrics with isotropic S-curvature
• On the classification of projectively flat Finsler metrics with constant flag curvature
• ON A CLASS OF PROJECTIVELY FLAT FINSLER METRICS OF NEGATIVE CONSTANT FLAG CURVATURE
• The Isoperimetric Problem
• The Isoperimetric Problem for Minkowski Area

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