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Dergiler / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 3

Rotational embeddings in E4 with pointwise 1-type gauss map

Kadri ARSLAN
Betül BULCA
Cengizhan MURATHAN
Sayfa
493–499
Yayın Tarihi
2011-03-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present article we study the rotational embedded surfaces in E4.
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Temel Bulgular & Veri:Milousheva as a surface in E4.
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Sonuç & Katkı:Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rotation surface · gauss map · finite type

Özet

In the present article we study the rotational embedded surfaces in E4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E4. The Otsuki (non-round) sphere in E4 is one of the special examples of this surface. Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.

Abstract

In the present article we study the rotational embedded surfaces in E4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E4. The Otsuki (non-round) sphere in E4 is one of the special examples of this surface. Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.

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Bu Makaleye Atıf Yap

ARSLAN, K., BULCA, B., MURATHAN, C. (2011). Rotational embeddings in E4 with pointwise 1-type gauss map. Turkish Journal of Mathematics, Cilt: 35 - Sayı: 3, 493–499. https://ajindex.com/articles/723355

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Kaynakça (16)

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  16. Kadri ARSLAN, Bet¨ul BULCA, Cengizhan MURATHAN Department of Mathematics Uluda˘g University Bursa, TURKEY e-mail: [email protected], Beng¨u KILIC¸ BAYRAM Department of Mathematics Balıkesir University Balıkesir, TURKEY e-mail: [email protected] Young Ho KIM Department of Mathematics Kyunpook National University Taegu, KOREA e-mail: [email protected] G¨unay ¨OZT ¨URK Department of Mathematics Kocaeli University Kocaeli, TURKEY e-mail: [email protected]