Yarı-Galileo Uzayında Belli Bir Ortalama Eğriliğe Sahip Yüzeyler Üzerine

Year 2021, Volume: 11 Issue: 2, 215 - 226, 31.12.2021

Muhittin Evren Aydın , Alper Osman Öğrenmiş

https://doi.org/10.37094/adyujsci.907765

Abstract

Bu çalışmada; yarı-Galileo uzayında, öteleme ve ayrışabilir yüzeyler denilen iki belirgin sınıf ele alınmıştır. 𝑣 , bir 𝑣 izotropik vektörün normal bileşeni olmak üzere bu yüzeylerden
ortalama eğriliği 𝐻 = 𝑣! denklemini sağlayanlar elde edilmiştir.

On Surfaces in pseudo-Galilean space with prescribed mean curvature

Abstract

In this work, we consider certain classes of surfaces in the pseudo-Galilean space, the translation and factorable surfaces. We classify these surfaces that satisfy the equation H=v^ , where H is the mean curvature and v^ the normal component of an isotropic vector v.

Keywords

Translating soliton, Manifolds with density, Mean curvature, Pseudo-Galilean space

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