Supplement to ``Metric characterization of projective-metric spaces

DOI10.1007/978-3-031-43510-2_8MaRDI QIDQ6610770

Árpád Kurusa

Publication date: 26 September 2024

zbMATH Keywords

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Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Absolute spaces in metric geometry (51F10) Minkowski geometries in nonlinear incidence geometry (51B20) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Other special differential geometries (53A40)

Cites Work

• Remarks on the Cauchy functional equation and variations of it
• Ceva's and Menelaus' theorems characterize the hyperbolic geometry among Hilbert geometries
• Ceva's and Menelaus' theorems in projective-metric spaces
• An arithmetic proof of John's ellipsoid theorem
• Conditions for a plane projective metric to be a norm
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