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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 4

Constructions of helicoidal surfaces by using curvature functions in isotropic space

Dae Won Yoon
Jae Won Lee
Chul Woo Lee
Sayfa
959–965
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we give some examples of helicoidal surfaces with non-constant Gaussian curvature or mean curvature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we study helicoidal surfaces in the three dimensional isotropic space $\Bbb I^3$ and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth functions.
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Temel Bulgular & Veri:In the present paper, we study helicoidal surfaces in the three dimensional isotropic space $\Bbb I^3$ and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth functions.
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Sonuç & Katkı:Moreover, we give some examples of helicoidal surfaces with non-constant Gaussian curvature or mean curvature.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Isotropic space · helicoidal surface · mean curvature

Abstract

In the present paper, we study helicoidal surfaces in the three dimensional isotropic space $\Bbb I^3$ and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth functions. Moreover, we give some examples of helicoidal surfaces with non-constant Gaussian curvature or mean curvature.

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Bu Makaleye Atıf Yap

Yoon, D. W., Lee, J. W., Lee, C. W. (2022). Constructions of helicoidal surfaces by using curvature functions in isotropic space. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 4, 959–965. https://ajindex.com/articles/529725

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Kaynakça (11)

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