Loxodromes On Semi-Riemannian Hypersurfaces Of Revolution In Minkowski Space-Time

被引：0
|
作者：
Babaarslan, Murat [1 ]
机构：
[1] Yozgat Bozok Univ, Dept Math, TR-66100 Yozgat, Turkey
来源：
APPLIED MATHEMATICS E-NOTES | 2022年 / 22卷
关键词：
DIFFERENTIAL-EQUATION; ROTATIONAL SURFACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first introduce the notion of semi-Riemannian hypersurface of revolution of elliptic type and hyperbolic type, respectively in Minkowski space-time. Then, we find the equations of loxo-dromes on semi-Riemannian hypersurfaces of revolution. Also, we obtain the arc-lengths of the space-like or time-like loxodromes on semi-Riemannian hypersurfaces of revolution. Finally, we give two examples to strengthen our main results.
引用
收藏
页码：602 / 609
页数：8
相关论文
共 50 条
  • [41] The stability of Minkowski space-time
    Christodoulou, D
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1999, : 365 - 385
  • [42] Semi-Riemannian hypersurfaces in Ln+1 with a totally geodesic foliation of codimension one
    Kashani, S. M. B.
    Vanaei, M. J.
    Yaghoobi, S. M.
    JOURNAL OF GEOMETRY, 2019, 110 (02)
  • [43] Persistence in Minkowski Space-Time
    Friebe, Cord
    EPSA PHILOSOPHY OF SCIENCE: AMSTERDAM 2009, 2012, : 67 - 75
  • [44] Renormalization in Minkowski space-time
    Steib, Imola
    Nagy, Sandor
    Polonyi, Janos
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2021, 36 (05):
  • [45] Electrodynamics on κ-Minkowski space-time
    Harikumar, E.
    Juric, T.
    Meljanac, S.
    PHYSICAL REVIEW D, 2011, 84 (08):
  • [46] Reconstructing Minkowski space-time
    Solodukhin, SN
    ADS/CFT CORRESPONDENCE: EINSTEIN METRICS AND THEIR CONFORMAL BOUNDARIES, 2005, 8 : 123 - 163
  • [47] New characterizations of hyperbolic cylinders in semi-Riemannian space forms
    de Lima, Henrique F.
    dos Santos, Fabio R.
    Velasquez, Marco Antonio L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 434 (01) : 765 - 779
  • [48] Complete spacelike submanifolds in a locally symmetric semi-Riemannian space
    Zhang, Shicheng
    Zhang, Yuntao
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (04)
  • [49] Linear Weingarten Spacelike Submanifolds in Semi-Riemannian Space Form
    Yu, J. C.
    MATHEMATICAL NOTES, 2022, 111 (5-6) : 808 - 817
  • [50] OSCULATING SPHERES AND OSCULATING CIRCLES OF A CURVE IN SEMI-RIEMANNIAN SPACE
    Soyturk, E.
    Ilarslan, K.
    Saglam, D.
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2005, 54 (02): : 39 - 48
12345