Research Article

On Fuhrmann's Theorem in Abstract Spaces

Volume: 23 Number: 5 October 1, 2019
EN

On Fuhrmann's Theorem in Abstract Spaces

Abstract

We prove that Fuhrmann's Theorem holds on every Ptolemaean space.

Keywords

References

  1. 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

Publication Date

October 1, 2019

Submission Date

January 27, 2019

Acceptance Date

March 21, 2019

Published in Issue

Year 2019 Volume: 23 Number: 5

APA
Sönmez, N. (2019). On Fuhrmann’s Theorem in Abstract Spaces. Sakarya University Journal of Science, 23(5), 788-791. https://doi.org/10.16984/saufenbilder.518403
AMA
1.Sönmez N. On Fuhrmann’s Theorem in Abstract Spaces. SAUJS. 2019;23(5):788-791. doi:10.16984/saufenbilder.518403
Chicago
Sönmez, Nilgün. 2019. “On Fuhrmann’s Theorem in Abstract Spaces”. Sakarya University Journal of Science 23 (5): 788-91. https://doi.org/10.16984/saufenbilder.518403.
EndNote
Sönmez N (October 1, 2019) On Fuhrmann’s Theorem in Abstract Spaces. Sakarya University Journal of Science 23 5 788–791.
IEEE
[1]N. Sönmez, “On Fuhrmann’s Theorem in Abstract Spaces”, SAUJS, vol. 23, no. 5, pp. 788–791, Oct. 2019, doi: 10.16984/saufenbilder.518403.
ISNAD
Sönmez, Nilgün. “On Fuhrmann’s Theorem in Abstract Spaces”. Sakarya University Journal of Science 23/5 (October 1, 2019): 788-791. https://doi.org/10.16984/saufenbilder.518403.
JAMA
1.Sönmez N. On Fuhrmann’s Theorem in Abstract Spaces. SAUJS. 2019;23:788–791.
MLA
Sönmez, Nilgün. “On Fuhrmann’s Theorem in Abstract Spaces”. Sakarya University Journal of Science, vol. 23, no. 5, Oct. 2019, pp. 788-91, doi:10.16984/saufenbilder.518403.
Vancouver
1.Nilgün Sönmez. On Fuhrmann’s Theorem in Abstract Spaces. SAUJS. 2019 Oct. 1;23(5):788-91. doi:10.16984/saufenbilder.518403


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