Characterizations of Tzitzeica curves using Bishop frames

K Eren, S Ersoy - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
In this study, the conditions of a regular curve to be Tzitzeica curve according to Type‐1 and
Type‐2 Bishop frames in Euclidean 3‐space are formulated. Also, the conditions for each …

[PDF][PDF] Translation hypersurfaces and Tzitzeica translation hypersurfaces of the Euclidean space

ME Aydin, A Mihai - Proc. Rom. Acad. Series A, 2015 - acad.ro
The determinants of bordered Hessian matrices (also called Allen's matrices) play important
roles in many areas of mathematics and economics. In the present paper, we completely …

[PDF][PDF] Non-null curves of Tzitzeica type in Minkowski 3-space

ME AYDIN, M ERGÜT - Romanian J. Math. Comput. Sci, 2014 - rjm-cs.utcb.ro
Gheorghe Tzitzeica who is a Romanian mathematician (1873-1939) introduced a class of
curves, nowadays called Tzitzeica curves and a class of surfaces of the Euclidean 3-space …

Geometry of the Solutions of Localized Induction Equation in the Pseudo‐Galilean Space

ME Aydin, A Mihai, AO Ogrenmis… - … in Mathematical Physics, 2015 - Wiley Online Library
Geometry of the Solutions of Localized Induction Equation in the Pseudo‐Galilean Space -
Aydin - 2015 - Advances in Mathematical Physics - Wiley Online Library Skip to Article Content …

Tzitzeica equations and Tzitzeica surfaces in separable coordinate systems and the Ricci flow tensor field

WG Boskoff, M Crasmareanu, LI Pişcoran - Carpathian Journal of …, 2017 - JSTOR
The Tzitzeica equation and two well-known Tzitzeica surfaces are studied in the separable
coordinate systems on the plane and space respectively. We study also Tzitzeica graphs …

On framed Tzitzeica curves in Euclidean space

SÖ Karakuş, M Tosun - Facta Universitatis, Series …, 2022 - casopisi.junis.ni.ac.rs
Investigations are very important for non-regular curves in differential geometry. Framed
curves have been used recently to study singular curves, and they have many contributions …

[PDF][PDF] Characterizations of Tzitzeica Curves Using Conformable Frenet Frame

A Has, B Yılmaz, H Ayvacı - 2023 - assets-eu.researchsquare.com
Tzitzeica curve is a mathematical curve that has been used to describe the behavior of
certain physical phenomena. It was first discovered by Romanian mathematician Gheorghe …

On tzitzeica surfaces in euclidean 3-space

B Bayram, E Tunç - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü …, 2021 - dergipark.org.tr
On tzitzeica surfaces in euclidean 3-space 𝔼 Page 1 Araştırma Makalesi BAUN Fen Bil. Enst.
Dergisi, 23(1),277-290, (2021) DOI:10.25092/baunfbed.850807 J. BAUN Inst. Sci. Technol …

ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE.

S ̈Özkaldı Karakuş, M Tosun - Facta Universitatis, Series …, 2022 - search.ebscohost.com
Investigations are very important for non-regular curves in differential geometry. Framed
curves have been used recently to study singular curves, and they have many contributions …

Characterizations of tzitzeica curves using FLC frame

S Şenyurt, K Eren, KH Ayvacı - Sigma Journal of Engineering and …, 2024 - dergipark.org.tr
In this study, we investigate the condition that a given polynomial curve with respect to the
Frenet like curve (Flc) frame is a Tzitzeica curve. We also show that any planar polynomial …