International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.3, Jun. 2015, Pub. Date: Apr. 18, 2015
A Special Class of Tensor Product Surfaces with Harmonic Gauss Map
Pages: 87-90 Views: 1145 Downloads: 623
Authors
[01] Azam Etemad Dehkordy, Department of Mathematical sciences, Isfahan University of Technology, Isfahan, Iran.
Abstract
In this paper, we stat a necessary and sufficient condition for Gauss map of the tensor product of planar unite circle and a special smooth curve in En to be harmonic. In this way, we construct two orthonormal basis for the tangent space and the normal space of the resulting tensor product surface. As a direct consequence of these basis, we also get a result about shape operators of this surface.
Keywords
Tensor Product, Gauss Map, Harmonic Map
References
[01] In this paper, we stat a necessary and sufficient condition for Gauss map of the tensor product of planar unite circle and a special smooth curve in En to be harmonic. In this way, we construct two orthonormal basis for the tangent space and the normal space of the resulting tensor product surface. As a direct consequence of these basis, we also get a result about shape operators of this surface.
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