A new representation of constant angle surfaces in H²×R with split quaternions
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Date
2019-02-01
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Ankara Üniversitesi Fen Fakültesi
Abstract
In this paper we study surfaces in H²×R for which the unit normal makes a constant angle with the R-direction. The main idea is to show that constant angle surfaces in H²×R can be obtained by split quaternion product and the matrix representations. Also we give some related examples with their projections of figures.
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Keywords
Constant angle surfaces, Product manifold, Split quaternions