On Fuhrmann's Theorem in Abstract Spaces
Abstract
We prove that Fuhrmann's Theorem holds on every Ptolemaean space.
Keywords
References
- Referans 1 H. S. M. Coxeter and S. L. Greitzer, “Geometry Revisited,” Washington, DC:Math. Assoc. Amer., pp. 42–43, 1967.Referans 2 W. Fuhrmann, “Synthetische Beweise Planimetrischer Sa ̈tze,” Berlin, pp. 61, 1890. Referans 3 R.A. Johnson, “Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle,” Boston, MA: Houghton Mifflin, pp. 65-66, 1929.Referans 4 I. D. Platis, “Cross-ratios and the Ptolemaean inequality in boundaries of symmetric spaces of Rank 1,” Geometriae Dedicata, vol. 169, pp. 187–208, 2014.Referans 5 I. D. Platis and V. Schroeder, “Möbius Rigidity of Invariant Metrics in Boundaries of Symmetric Spaces of Rank 1,” Monatshefte für Mathematic, vol. 183, no. 2, pp. 357–373, 2017.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Nilgün Sönmez
*
0000-0001-6764-3949
Türkiye
Publication Date
October 1, 2019
Submission Date
January 27, 2019
Acceptance Date
March 21, 2019
Published in Issue
Year 2019 Volume: 23 Number: 5