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http://hdl.handle.net/11452/23875
Title: | Tensor product surfaces with pointwise 1-type gauss map |
Authors: | Kılıç, Bengü Kim, Young Ho Öztürk, Günay Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0001-5861-0184 Arslan, Kadri Bulca, Betül Murathan, Cengizhan ABH-3658-2020 ABE-8167-2020 AAG-7693-2021 AAG-8775-2021 6603079141 35226209600 6506718146 |
Keywords: | Mathematics Tensor product immersion Gauss map Finite type Pointwise 1-type Ruled surfaces Rotation surface |
Issue Date: | May-2011 |
Publisher: | Korean Mathematical |
Citation: | Arslan, K. vd. (2011). ''Tensor product surfaces with pointwise 1-type gauss map''. Bulletin of the Korean Mathematical Society, 48(3), 601-609. |
Abstract: | Tensor 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. |
URI: | https://doi.org/10.4134/BKMS.2011.48.3.601 https://www.koreascience.or.kr/article/JAKO201118834662265.page http://hdl.handle.net/11452/23875 |
ISSN: | 1015-8634 |
Appears in Collections: | Scopus Web of Science |
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