Weighted minimal translation surfaces in the Galilean space with density

被引：13
|
作者：
Yoon, Dae Won [1 ,2 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[2] Gyeongsang Natl Univ, RINS, Jinju 52828, South Korea
来源：
OPEN MATHEMATICS | 2017年 / 15卷
基金：
新加坡国家研究基金会;
关键词：
Galilean space; Translation surface; Weighted manifold; Weighted mean curvature; ISOPERIMETRIC PROBLEM; CURVATURE;
D O I：
10.1515/math-2017-0043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Translation surfaces in the Galilean 3-space G(3) have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G(3) with a log-linear density and classify such a surface with vanishing weighted mean curvature.
引用
收藏
页码：459 / 466
页数：8
相关论文
共 50 条
  • [31] Some special surfaces in the pseudo-Galilean space
    B. Divjak
    Ž. Milin Šipuš
    Acta Mathematica Hungarica, 2008, 118 : 209 - 226
  • [32] CLASSIFICATION OF ROTATIONAL SURFACES IN PSEUDO-GALILEAN SPACE
    Yoon, Dae Won
    GLASNIK MATEMATICKI, 2015, 50 (02) : 453 - 465
  • [33] TRANSLATION SURFACES IN THE 3-DIMENSIONAL GALILEAN SPACE SATISFYING ΔIIxi = λixi (vol 54, pg 1241, 2017)
    Cakmak, Ali
    Karacan, Murat Kemal
    Kiziltug, Sezai
    Yoon, Dae Won
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (02) : 549 - 554
  • [34] ON THE CURVATURE FUNCTIONS OF TUBE-LIKE SURFACES IN THE GALILEAN SPACE
    Abdel-Aziz, Hossam Eldeen S.
    Sorour, Adel H.
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 36 (03): : 609 - 622
  • [35] Minding isometries of ruled surfaces in pseudo-Galilean space
    Blaženka Divjak
    Željka Milin Šipuš
    Journal of Geometry, 2003, 77 (1-2) : 35 - 47
  • [36] Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space
    Dede, M.
    Ekici, C.
    Goemans, W.
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2018, 14 (02) : 141 - 152
  • [37] Surfaces of Revolution of Type 1 in Galilean 3-Space
    Cakmak, Ali
    Es, Hasan
    Karacan, Murat Kemal
    Kiziltug, Sezai
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (03): : 585 - 597
  • [38] SURFACES OF REVOLUTION IN THE THREE DIMENSIONAL PSEUDO-GALILEAN SPACE
    Yoon, Dae Won
    GLASNIK MATEMATICKI, 2013, 48 (02) : 415 - 428
  • [39] TUBULAR SURFACES WITH DARBOUX FRAME IN GALILEAN 3-SPACE
    Kiziltug, Sezai
    Dede, Mustafa
    Ekici, Cumali
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (02): : 253 - 260
  • [40] Twisted surfaces with vanishing curvature in Galilean 3-space
    Dede, Mustafa
    Ekici, Cumali
    Goemans, Wendy
    Unluturk, Yasin
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (01)
12345