Browsing by Author "Kim, Young Ho"
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Item Rotational embeddings in E-4 with pointwise 1-type gauss map(TÜBİTAK, 2011) Bayram, Bengü Kılıç; Kim, Young Ho; Öztürk, Günay; Arslan, Kadri; Murathan, Cengizhan; Bulca, Betül; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-1440-7050; 0000-0001-5861-0184; AAG-8775-2021; ABH-3658-2020; AAG-7693-2021; 6603079141; 6506718146; 35226209600In the present article we study the rotational embedded surfaces in E-4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E-4. The Otsuki (non-round) sphere in E-4 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.Item Tensor product surfaces with pointwise 1-type gauss map(Korean Mathematical, 2011-05) Kılıç, Bengü; Kim, Young Ho; Öztürk, Günay; Arslan, Kadri; Bulca, Betül; Murathan, Cengizhan; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0001-5861-0184; ABH-3658-2020; ABE-8167-2020; AAG-7693-2021; AAG-8775-2021; 6603079141; 35226209600; 6506718146Tensor product immersions of a given Riemannian manifold was initiated by B.-Y. Chen. In the present article we study the tensor product surfaces of two Euclidean plane curves. We show that a tensor product surface M of a plane circle c(1) centered at origin with an Euclidean planar curve c(2) has harmonic Gauss map if and only if M is a part of a plane. Further, we give necessary and sufficient conditions for a tensor product surface M of a plane circle c(1) centered at origin with an Euclidean planar curve c(2) to have pointwise 1-type Gauss map.