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http://dx.doi.org/10.4134/BKMS.2011.48.3.601

TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP  

Arslan, Kadri (Department of Mathematics Uludag University)
Bulca, Betul (Department of Mathematics Uludag University)
Kilic, Bengu (Department of Mathematics Balikesir University)
Kim, Young-Ho (Department of Mathematics Kyungpook National University)
Murathan, Cengizhan (Department of Mathematics Uludag University)
Ozturk, Gunay (Department of Mathematics Kocaeli University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.3, 2011 , pp. 601-609 More about this Journal
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.
Keywords
tensor product immersion; Gauss map; finite type; pointwise 1-type;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
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