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Homothetic Motions and Surfaces in E\(^{4}\)

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Abstract

In this paper, we determine a surface \(M\) by means of homothetic motion in \( \mathbb {R}^{4}\) and reparametrize this surface \(M\) with bicomplex numbers. Also, by using curves and surfaces which are obtained by homothetic motion, we give some special subgroups of the Lie group \(P\).

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Authors and Affiliations

  1. Division of Elementary Mathematics Education, Ahi Evran University, Kirşehir, Turkey

    Ferdag Kahraman Aksoyak

  2. Department of Mathematics, Ankara University, Ankara, Turkey

    Yusuf Yayli

Authors
  1. Ferdag Kahraman Aksoyak
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  2. Yusuf Yayli
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Corresponding author

Correspondence to Ferdag Kahraman Aksoyak.

Additional information

Communicated by Rosihan M. Ali, Dato’.

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Aksoyak, F.K., Yayli, Y. Homothetic Motions and Surfaces in E\(^{4}\) . Bull. Malays. Math. Sci. Soc. 38, 259–269 (2015). https://doi.org/10.1007/s40840-014-0017-9

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  • DOI: https://doi.org/10.1007/s40840-014-0017-9

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