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

Year 2019, Volume: 68 Issue: 1, 633 - 642, 01.02.2019

Siddika Özkaldı Karakuş

https://doi.org/10.31801/cfsuasmas.456433

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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