POLYNOMIAL TRANSLATION WEINGARTEN SURFACES IN 3-DIMENSIONAL EUCLIDEAN SPACE

被引:9
|
作者
Munteanu, M. I. [1 ]
Nistor, A. I. [1 ]
机构
[1] Alexandru Ioan Cuza Univ, Dept Math, Iasi 700506, Romania
来源
关键词
W-surfaces; translation surfaces; minimal surfaces; constant mean curvature (CMC); constant Gaussian curvature;
D O I
10.1142/9789814261173_0034
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we will classify those translation surfaces in E(3) involving polynomials which are Weingarten surfaces.
引用
收藏
页码:316 / 320
页数:5
相关论文
共 50 条
  • [21] Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry
    WANG Chao
    WANG ShiCheng
    ZHANG YiMu
    ZIMMERMANN Bruno
    ScienceChina(Mathematics), 2017, 60 (09) : 1599 - 1614
  • [22] Some classifications of Weingarten translation hypersurfaces in Euclidean space
    Yang, Dan
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2018, 61 (01): : 107 - 115
  • [23] On translation surfaces in 4-dimensional Euclidean space
    Arslan, Kadri
    Bayram, Bengu
    Bulca, Betul
    Ozturk, Gunay
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2016, 20 (02): : 123 - 133
  • [24] Translation surfaces in the 3-dimensional space satisfying ΔIIIri = μiri
    Mohammed Bekkar
    Bendehiba Senoussi
    Journal of Geometry, 2012, 103 (3) : 367 - 374
  • [25] Helicoidal surfaces with Delta(J)(r) = Ar in 3-dimensional Euclidean space
    Senoussi, Bendehiba
    Bekkar, Mohammed
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (03): : 437 - 448
  • [26] PARALLEL SURFACES TO TRANSLATION SURFACES IN EUCLIDEAN 3-SPACE
    Cetin, Muhammed
    Tuncer, Yilmaz
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2015, 64 (02): : 47 - 54
  • [27] Special Curves in 3-Dimensional Euclidean Space
    Yuan Y.
    Li J.
    Liu H.-L.
    Liu, Hui-Li (liuhl@mail.neu.edu.cn), 1669, Northeast University (38): : 1669 - 1672
  • [28] DIFFERENTIATION OF SPINORS IN 3-DIMENSIONAL EUCLIDEAN SPACE
    DODDS, B
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1973, 6 (MAY): : 473 - 480
  • [29] TRANSLATION SURFACES IN THE 3-DIMENSIONAL GALILEAN SPACE SATISFYING ΔxiII = λixi
    Cakmak, Ali
    Karacan, Murat Kemal
    Kiziltug, Sezai
    Yoon, Dae Won
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1241 - 1254
  • [30] 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