A new characterization between osculating strip curves and ruled surfaces in Lorentzian space
| Autor: | Süha Yılmaz, Yasin Unluturk |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Special solution
osculating strip curve lcsh:T57-57.97 lcsh:Mathematics Lorentz space osculating strip curve normal curve Blaschke frame 010102 general mathematics Mathematical analysis Lorentzian space lcsh:QA1-939 01 natural sciences 010101 applied mathematics General Relativity and Quantum Cosmology Lorentz space System of differential equations Blaschke frame Darboux frame lcsh:Applied mathematics. Quantitative methods Mathematics::Differential Geometry 0101 mathematics Invariant (mathematics) normal curve Osculating circle Mathematics |
| Zdroj: | New Trends in Mathematical Sciences, Vol 4, Iss 4, Pp 101-113 (2016) Volume: 4, Issue: 4 101-113 New Trends in Mathematical Sciences |
| ISSN: | 2147-5520 |
| DOI: | 10.20852/ntmsci.2016422372 |
| Popis: | In this work, we study the conditions between osculating strip curves and ruled surfaces in Lorentzian space. For this st udy, we establish a system of differential equations characteri zing both spacelike and timelike ruled surfaces in Lorentzian space by using the invariant quantities of osculating strip curves on the g iven ruled surfaces. We obtain the solutions of these systems for special cases. Regarding to these special solutions, we give some results of relations between osculating strip curves and ruled surfa ces in Lorentzian space. |
| Databáze: | OpenAIRE |
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