A new representation of constant angle surfaces in H²×R with split quaternions

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
A new representation of constant angle surfaces in H²×R with split quaternions

A new representation of constant angle surfaces in H²×R with split quaternions

Authors : Siddika ÖZKALDI KARAKUŞ

Pages : 633-642

Doi:10.31801/cfsuasmas.456433

View : 50 | Download : 11

Publication Date : 2019-02-01

Article Type : Research Paper

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.
Keywords : Constant angle surfaces, product manifold, split quaternions, Minkowski space

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