Ruled surfaces obtained by curves in the lightlike cone-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Ruled surfaces obtained by curves in the lightlike cone

Published:2021-06-01 Issue:1 Volume:29 Page:55-61
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Uçum Ali¹

Affiliation:

1. Kırıkkale University , Faculty of Sciences and Arts, Department of Mathematics , Kırıkkale - Turkey

Abstract

Abstract In this paper, we consider the ruled surfaces obtained the lightlike curve in the 2-dimensional lightlike cone according to the frame given in [7]. We obtain necessary and sufficient conditions for the ruled surfaces to be minimal and to have a harmonic Gauss map. Then we see that the ruled surface is minimal if and only if it has a harmonic Gauss map.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2021-0005

Reference9 articles.

1. [1] L. J. Alías, A. Ferrández, P. Lucas, M. A. Meroño, On the Gauss map of B-scrolls, Tsukuba J. Math., vol. 22, no. 2, 1998, 371-377.10.21099/tkbjm/1496163588

2. [2] WB. Bonnor, Null curves in a Minkowski space-time, Tensor, vol. 20, 1969, 229-242.

3. [3] B.-Y. Chen, Geometry of Submanifolds, Dekker, New York, 1973.

4. [4] A. Ferrández, P. Lucas, On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms, Czechoslovak Math. J., vol. 50, no. 4, 2000, 699-704.10.1023/A:1022404426487

5. [5] L. K. Graves, Codimension one isometric immersions between Lorentz spaces, Trans. Amer. Math. Soc., vol. 252, 1979, 367-392.10.1090/S0002-9947-1979-0534127-4

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP