Ruled surfaces with timelike rulings (vol 147, pg 241, 2004)

被引：3
|
作者：
Kasap, E [1 ]
Aydemir, I [1 ]
Kuruoglu, N [1 ]
机构：
[1] Ondokuz Mayis Univ, Dept Math, Fac Arts & Sci, TR-55139 Samsun, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 02期
关键词：
D O I：
10.1016/j.amc.2004.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a new type of ruled surfaces in a Lorentz 3-space IR13 is obtained by a strictly connected timelike oriented line moving with Frenet's frame along a spacelike curve. These surfaces are classified into timelike and spacelike surfaces. The well-known theorems due to Bonnet and Chasles in the 3-dimensional Euclidean space are proved for a timelike ruled surface.
引用
收藏
页码：1461 / 1468
页数：8
相关论文
共 50 条
  • [1] Ruled surfaces with timelike rulings (vol 147, pg 241, 2004)
    Kasap, Emin
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 179 (01) : 402 - 405
  • [2] Ruled surfaces with time like rulings (vol 147, pg 241, 2004)
    Kasap, E
    Aydemir, I
    Kuruoglu, N
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) : 1660 - 1667
  • [3] Ruled surfaces with timelike rulings
    Abdel-All, NH
    Abdel-Baky, RA
    Hamdoon, FM
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) : 241 - 253
  • [4] On parallel timelike ruled surfaces with timelike rulings
    Coeken, A. Ceylan
    Ciftci, Uenver
    Ekici, Cumali
    KUWAIT JOURNAL OF SCIENCE & ENGINEERING, 2008, 35 (1A): : 21 - 31
  • [5] Timelike ruled surfaces with spacelike rulings in IR13
    Aydemir, S
    Kasap, E
    KUWAIT JOURNAL OF SCIENCE & ENGINEERING, 2005, 32 (02): : 13 - 24
  • [6] On the invariants of Mannheim offsets of timelike ruled surfaces with spacelike rulings
    Onder, Mehmet
    Ugurlu, H. Huseyin
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (01)
  • [7] On Motion of Robot End-Effector Using the Curvature Theory of Timelike Ruled Surfaces with Timelike Rulings
    Ekici, Cumali
    Unluturk, Yasin
    Dede, Mustafa
    Ryuh, B. S.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2008, 2008
  • [8] DEVELOPED MOTION OF ROBOT END-EFFECTOR OF TIMELIKE RULED SURFACES WITH SPACELIKE RULINGS (THE SECOND CASE)
    Atalay, Gulnur Saffak
    Kasap, Emin
    JOURNAL OF SCIENCE AND ARTS, 2020, (01): : 103 - 118
  • [9] On the kinematic interpretation of timelike ruled surfaces
    Onder, Mehmet
    Ekinci, Zehra
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2015, 12 (10)
  • [10] On closed timelike and spacelike ruled surfaces
    Oender, Mehmet
    Ekinci, Zehra
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) : 786 - 795
12345