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Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 3

General rotational ξ−surfaces in Euclidean spaces

Kadri ARSLAN
Betül BULCA
Yılmaz AYDIN
Sayfa
1287–1299
Yayın Tarihi
2022-11-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an application, we give some examples of self-shrinkers and rotational ξ−surfaces in R 4 .

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The general rotational surfaces in the Euclidean 4-space R 4 was first studied by Moore (1919).
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Temel Bulgular & Veri:We obtained some results related with rotational surfaces in Euclidean 4−space R 4 to become self-shrinkers.
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Sonuç & Katkı:As an application, we give some examples of self-shrinkers and rotational ξ−surfaces in R 4 .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The general rotational surfaces in the Euclidean 4-space R 4 was first studied by Moore (1919). The Vranceanu surfaces are the special examples of these kind of surfaces. Self-shrinker flows arise as special solution of the mean curvature flow that preserves the shape of the evolving submanifold. In addition, ξ−surfaces are the generalization of self-shrinker surfaces. In the present article we consider ξ−surfaces in Euclidean spaces. We obtained some results related with rotational surfaces in Euclidean 4−space R 4 to become self-shrinkers. Furthermore, we classify the general rotational ξ−surfaces with constant mean curvature. As an application, we give some examples of self-shrinkers and rotational ξ−surfaces in R 4 .

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Bu Makaleye Atıf Yap

ARSLAN, K., BULCA, B., AYDIN, Y. (2022). General rotational ξ−surfaces in Euclidean spaces. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 3, 1287–1299. https://ajindex.com/articles/607334

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