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Euler’s ratio-sum formula in projective-metric spaces

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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Aims and scope Submit manuscript

Abstract

We prove that Euler’s ratio-sum formula is valid in a projective-metric space if and only if it is either elliptic, hyperbolic, or Minkowskian.

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Correspondence to Árpád Kurusa.

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This research was supported by NFSR of Hungary (NKFIH) under grant numbers K 116451 and KH_18 129630.

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Kurusa, Á., Kozma, J. Euler’s ratio-sum formula in projective-metric spaces. Beitr Algebra Geom 60, 379–390 (2019). https://doi.org/10.1007/s13366-018-0422-6

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  • DOI: https://doi.org/10.1007/s13366-018-0422-6

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