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
  • [21] On the Unicity of Complete Hypersurfaces Immersed in a Semi-Riemannian Warped Product
    Aquino, C. P.
    de Lima, H. F.
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (02) : 1126 - 1143
  • [22] On the Unicity of Complete Hypersurfaces Immersed in a Semi-Riemannian Warped Product
    C. P. Aquino
    H. F. de Lima
    The Journal of Geometric Analysis, 2014, 24 : 1126 - 1143
  • [23] Lightlike hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
    Yasar, Erol
    Coeken, A. Ceylan
    Yuecesan, Ahmet
    KUWAIT JOURNAL OF SCIENCE & ENGINEERING, 2007, 34 (2A): : 11 - 24
  • [24] GEODESIC DISTANCE IN A RIEMANNIAN SPACE-TIME IN SECOND MINKOWSKI APPROXIMATION
    JOHN, RW
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (11): : 737 - 740
  • [25] ASCREEN LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI- SYMMETRIC NON-METRIC CONNECTION
    Jin, Dae Ho
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 29 (02): : 311 - 317
  • [26] Semi-Riemannian Generalized Sasakian Space Forms
    Pablo Alegre
    Alfonso Carriazo
    Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1 - 14
  • [27] Semi-Riemannian Generalized Sasakian Space Forms
    Alegre, Pablo
    Carriazo, Alfonso
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (01) : 1 - 14
  • [28] Light like hypersurfaces along spacelike submanifolds in Minkowski space-time
    Izumiya, Shyuichi
    Sato, Takami
    JOURNAL OF GEOMETRY AND PHYSICS, 2013, 71 : 30 - 52
  • [29] Lightlike hypersurfaces of a semi-Riemannian manifold of quasi-constant curvature
    Jin, Dae Ho
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (04): : 763 - 770
  • [30] Semi-Riemannian hypersurfaces in manifolds with metric mixed 3-structures
    S. Ianuş
    G. E. Vîlcu
    Acta Mathematica Hungarica, 2010, 127 : 154 - 177
12345