Tensor product surfaces with pointwise 1-type gauss map
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Date
2011-05
Authors
Kılıç, Bengü
Kim, Young Ho
Öztürk, Günay
Journal Title
Journal ISSN
Volume Title
Publisher
Korean Mathematical
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.
Description
Keywords
Mathematics, Tensor product immersion, Gauss map, Finite type, Pointwise 1-type, Ruled surfaces, Rotation surface
Citation
Arslan, K. vd. (2011). ''Tensor product surfaces with pointwise 1-type gauss map''. Bulletin of the Korean Mathematical Society, 48(3), 601-609.