Research Article
BibTex RIS Cite

On Fuhrmann's Theorem in Abstract Spaces

Year 2019, , 788 - 791, 01.10.2019
https://doi.org/10.16984/saufenbilder.518403

Abstract

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

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.
Year 2019, , 788 - 791, 01.10.2019
https://doi.org/10.16984/saufenbilder.518403

Abstract

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.
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Nilgün Sönmez 0000-0001-6764-3949

Publication Date October 1, 2019
Submission Date January 27, 2019
Acceptance Date March 21, 2019
Published in Issue Year 2019

Cite

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

30930 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.