Please use this identifier to cite or link to this item: 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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