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
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[01]
Azam Etemad Dehkordy, Department of Mathematical sciences, Isfahan University of Technology, Isfahan, Iran.
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.
Tensor Product, Gauss Map, Harmonic Map
[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.
ISSN Print: 2381-7011
ISSN Online: 2381-702X
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ISSN Online: 2381-702X
Current Issue:
Vol. 5, Issue 2, June Submit a Manuscript Join Editorial Board Join Reviewer Team
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