DUAL TRANSLATION SURFACES IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I-3(1)

被引:4
|
作者
Lone, Mohamd Saleem [1 ]
Karacan, Murat Kemal [2 ]
机构
[1] Cent Univ Jammu, Dept Math, Jammu 180011, J&K, India
[2] Usak Univ, Fac Sci & Arts, Dept Math, 1 Eylul Campus, TR-64200 Usak, Turkey
来源
TAMKANG JOURNAL OF MATHEMATICS | 2018年 / 49卷 / 01期
关键词
Dual surface; simply isotropic space; translation surface;
D O I
10.5556/j.tkjm.49.2018.2476
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the dual translation surfaces in three dimensional simply isotropic space. We give classification of dual translation surface with constant dual isotropic mean curvature or constant dual isotropic Guassian curvature.
引用
收藏
页码:67 / 77
页数:11
相关论文
共 50 条
  • [31] TRANSLATION SURFACES OF A QUASI-ELLIPTIC SPACE WITH A CONTINUUM OF TRANSLATION NETS I
    STACHEL, H
    MATHEMATISCHE NACHRICHTEN, 1975, 68 : 239 - 254
  • [32] Minimal Translation Surfaces in the Three-Dimensional Heisenberg Group
    Ramis, Cagla
    Munteanu, Marian Ioan
    FILOMAT, 2019, 33 (06) : 1583 - 1592
  • [33] GEODESIC AND PSEUDO-GEODESIC LINES ON RULED SURFACES IN DUAL ISOTROPIC SPACE
    SACHS, H
    STROMMER, G
    ARCHIV DER MATHEMATIK, 1980, 33 (05) : 478 - 484
  • [34] TRANSLATION SURFACES WITH NON-ZERO CONSTANT TOTAL CURVATURE IN MULTIDIMENSIONAL ISOTROPIC SPACE
    Ismoilov, Sherzodbek
    Sultanov, Bekzod
    Mamadaliyev, Botirjon
    Kurudirek, Abdullah
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2025, 43 (01): : 191 - 203
  • [35] THE METRIC THEORY OF THE BUNDLES OF LINEAR LINE COMPLEXES OF TYPE-1 OF THE SIMPLY ISOTROPIC SPACE J3(1)
    SACHS, H
    MONATSHEFTE FUR MATHEMATIK, 1986, 101 (03): : 227 - 243
  • [36] Helicoidal surfaces in three-dimensional Minkowski space
    Beneki, CC
    Kaimakamis, G
    Papantoniou, BJ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 275 (02) : 586 - 614
  • [37] On Bezier surfaces in three-dimensional Minkowski space
    Ugail, H.
    Marquez, M. C.
    Yilmaz, A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (08) : 2899 - 2912
  • [38] Ruled like surfaces in three dimensional Euclidean space
    Pal, Buddhadev
    Kumar, Santosh
    ANNALES MATHEMATICAE ET INFORMATICAE, 2023, 59 : 83 - 101
  • [39] Translation surfaces in 3-D Minkowski space
    Yuan, Yuan
    Zhang, Jin-Liang
    Li, Chun-Xiu
    Liu, Hui-Li
    Dongbei Daxue Xuebao/Journal of Northeastern University, 2009, 30 (02): : 302 - 304
  • [40] Affine translation surfaces in Euclidean 3-space
    Liu, Huili
    Yu, Yanhua
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2013, 89 (09) : 111 - 113