Intrinsic four-point properties

DOI10.1007/S00022-013-0181-3zbMath1301.51014OpenAlexW2024699670MaRDI QIDQ457116

Brody Dylan Johnson, Rebecca Lelko, Raymond W. Freese, Edward Z. Andalafte

Publication date: 26 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00022-013-0181-3

zbMATH Keywords

hyperbolic spacesEuclidean spacesfour point properties

Mathematics Subject Classification ID

General theory of distance geometry (51K05)

Related Items (1)

Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory

Cites Work

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• An equilateral four point property which characterizes generalized Euclidean spaces
• A new class of four-point properties which characterize Euclidean spaces
• New intrinsic four point properties which characterize hyperbolic and euclidean spaces
• Characterizations of inner product spaces
• Metrizations of orthogonality and characterizations of inner product spaces
• AN INTRINSIC ISOSCELES FOUR POINT PROPERTY WHICH CHARACTERIZES HYPERBOLIC AND EUCLIDEAN SPACES
• Criteria for Inner Product Spaces
• Metric characterizations of hyperbolic and Euclidean spaces

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