General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Yana Aleksieva; Velichka Milousheva; Nurettin Cenk Turgay

doi:10.1007/s40840-016-0425-0

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Yana Aleksieva, Velichka Milousheva^*, Nurettin Cenk Turgay

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.

Original language	English
Pages (from-to)	1773-1793
Number of pages	21
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	41
Issue number	4
DOIs	https://doi.org/10.1007/s40840-016-0425-0
Publication status	Published - 1 Oct 2018

Bibliographical note

Publisher Copyright:
© 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Funding

Acknowledgements The first author was partially supported by Contract 195/2016 with the Sofia University “St. Kl. Ohridski.” The second author was partially supported by the Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria under contract DFNI-I 02/14. The third author was supported by TÜB˙TAK (Project Name: Y_EUCL2TIP, Project Number: 114F199). This work was done during the third author’s visit at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences in June 2015. The first author was partially supported by Contract 195/2016 with the Sofia University “St. Kl. Ohridski.” The second author was partially supported by the Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria under contract DFNI-I 02/14. The third author was supported by TÜBİTAK (Project Name: Y_EUCL2TIP, Project Number: 114F199). This work was done during the third author’s visit at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences in June 2015.

Funders	Funder number
TÜB˙TAK
Sofia University
Bulgarian National Science Fund
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu	114F199
Ministry of Education and Science	DFNI-I 02/14

Keywords

General rotational surfaces
Lorentz surfaces
Minimal surfaces
Parallel mean curvature vector
Pseudo-Euclidean space

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10.1007/s40840-016-0425-0

Cite this

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General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Abstract

Bibliographical note

Funding

Keywords

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