On distance preserving mappings
2021
0 views
0 downloads
Advisor: Prof. Dr. Oğuzhan Demirel
Abstract (EN)
This thesis consist of five chapters. The first chapter is devoted to the introduction section. In the second chapter, some required preparatory notions recalled. In the third chapter, Mazur-Ulam theorem and proof is given. In the fourth chapter, the trabsformations that maintain the unit distance are discussed. In the fifth chapter, the definition of Möbius transformation and basic definitions in hyperbolic geometry are given. Then Beckman -Quarles theorem is proved that hyperbolic geometry.
Author
Dr. Damla Topal
How to Cite
Damla Topal (Master Thesis). On distance preserving mappings, 2021, Afyon Kocatepe University.
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Afyon Kocatepe University
- A study on the applications of viola educators on effective participations of student learning process(2019)
- According to the temettuât notebooks Nevâhî-i Barçin town's social- economic position(2008)
- The services of XVIIIth century Ottoman proconsuls as the Hajj Emirate(2017)
- The comparison of the tollner score with crp and leukocyte count in the diagnosis and follow-up of neonatal sepsis(2011)
- The effect of argumentation-based STEM applications on the academic achievement of primary school students, their argumentation use levels, their attitudes andperceptions towards STEM, and their interest in STEM careers(2023)
- İmamkulu Han's period in the Bukhara Khanate (1611-1641)(2023)