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

页码：602 / 609

页数：8

共 16 条

[1]

Babaarslan M., 2015, Ann. Alexandru Ioan Cuza Univ.-Math, V61, P471

[2] On parametrizations of loxodromes on time-like rotational surfaces in Minkowski space-time [J].

Babaarslan, Murat ;

Gumus, Murat .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (05)

[3]

Babaarslan M, 2019, COMMUN FAC SCI UNIV, V68, P1950

[4] Differential Equation of the Loxodrome on a Helicoidal Surface [J].

Babaarslan, Murat ;

Yayli, Yusuf .

JOURNAL OF NAVIGATION, 2015, 68 (05) :962-970

[5] Space-like loxodromes on rotational surfaces in Minkowski 3-space [J].

Babaarslan, Murat ;

Yayli, Yusuf .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) :288-298

[6]

Blackwood J., 2017, Involve, V10, P465

[7]

Camci C., 2003, TURK J MATH, V27, P315

[8] Differential equation of a loxodrome on a sphere [J].

Kos, S ;

Vranic, D ;

Zec, D .

JOURNAL OF NAVIGATION, 1999, 52 (03) :418-420

[9]

Kos S, 2009, P INT TECH M I NAVIG, P958

[10]

Noble C.A., 1905, B AM MATH SOC, V12, P116, DOI DOI 10.1090/S0002-9904-1905-01296-9

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