欧几里得5空间中的广义螺旋曲面

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-11-01 DOI:10.2478/auom-2021-0044

A. Uçum, M. Sakaki

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引用次数: 0

摘要

摘要本文研究欧几里得5空间中的广义螺旋曲面。得到了欧几里得5空间中广义螺旋曲面最小、平坦或零法曲率张量的充要条件，即常微分方程。我们解了这些方程，并讨论了曲面的完备性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Helicoidal Surfaces in Euclidean 5-space

Abstract In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.