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General Rotational Surfaces Satisfying \(\mathbf { \bigtriangleup x}^{T}\mathbf {=\varphi x}^{T}\)

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Abstract

In the present study we consider rotational surfaces in Euclidean 4-space whose canonical vector field \(x^{T}\) satisfy the equality \(\bigtriangleup x^{T}=\varphi x^{T}\). Further, we obtain some results related to three types of general rotational surfaces in \({\mathbb {E}}^{4}\) satisfying this equality. We also give some examples related with these type of surfaces.

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Acknowledgements

The authors express their gratitude to the referees for their valuable comments and contribution to the article.

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Authors and Affiliations

  1. Department of Mathematics, Bursa Uludağ University, 16059, Bursa, Turkey

    Eray Demirbaş, Kadri Arslan & Betül Bulca

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  1. Eray Demirbaş
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  2. Kadri Arslan
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  3. Betül Bulca
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Correspondence to Betül Bulca.

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Demirbaş, E., Arslan, K. & Bulca, B. General Rotational Surfaces Satisfying \(\mathbf { \bigtriangleup x}^{T}\mathbf {=\varphi x}^{T}\). Mediterr. J. Math. 19, 6 (2022). https://doi.org/10.1007/s00009-021-01893-4

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