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.

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

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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.",

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author = "Yana Aleksieva and Velichka Milousheva and Turgay, {Nurettin Cenk}",

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AU - Turgay, Nurettin Cenk

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N2 - 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.

AB - 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.

KW - General rotational surfaces

KW - Lorentz surfaces

KW - Minimal surfaces

KW - Parallel mean curvature vector

KW - Pseudo-Euclidean space

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IS - 4

ER -

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

Abstract

Bibliographical note

Keywords

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