Title of article :
Surfaces Generated by Translation Surfaces of Type 1 in I1 3
Author/Authors :
Kemal Karacan, Murat Department of Mathematics - Faculty Arts and Sciences - Usak University - Usak, Turkey , Çakmak, Ali Department of Mathematics - Faculty Arts and Sciences - Bitlis Eren University - Bitlis, Turkey , Kızıltuğ, Sezai Department of Mathematics - Faculty Arts and Sciences - Erzincan University - Erzincan, Turkey , Es, Hasan Department of Secondary Education Science and Mathematics Education Mathematics Education Department - Gazi Faculty of Education - Gazi University - Ankara, Turkey
Abstract :
In this paper, we classify surfaces at a constant distance from the edge of regression on a translation surface of Type 1 in the three dimensional simply isotropic space I13satisfying some algebraic equations
in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental forms of the surface. We also give explicit forms of these surfaces.
Farsi abstract :
در اين مقاله ما رويه هاي كه در يك فاصله ثابت از لبه رگراسيون يك رويه انتقال از نوع يك در فضاي سه بعدي ايزوتروپيك ساده 𝐼31 قرار دارد و در يك معادله جبري برحسب توابع مختصاتي و عملگر لاپلاسين نسبت به اولين، دومين و سومين فرم اساسي رويه صدق ميكند را رده بندي ميكنيم. ما همچنين فرم هاي صريحي از اين رويه ها را ارايه مي دهيم.
Keywords :
Simply isotropic space , Translation surfaces , Surface at a constant distance , edge of regression on a surface
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
