Offset Ruled Surface in Euclidean Space with Density

被引：1
|
作者：
Ulucan, Neslihan [1 ]
Akyigit, Mahmut [1 ]
机构：
[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2021年 / 29卷 / 01期
关键词：
Ruled surface; Offset surface; Space with density;
D O I：
10.2478/auom-2021-0015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied. In addition, the relationships between the mean curvature and mean curvature with density, and the Gaussian curvature and the Gaussian curvature with density of the offset ruled surfaces in E-3 with density e(z) and e(-x2-y2) are given.
引用
收藏
页码：219 / 233
页数：15
相关论文
共 50 条
  • [1] A STUDY ON RULED SURFACE IN EUCLIDEAN 3-SPACE
    Tuncer, Yilmaz
    Ekmekci, Nejat
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2010, 8 (01) : 49 - 57
  • [2] Generalized normal ruled surface of a curve in the Euclidean 3-space
    Kaya, Onur
    Onder, Mehmet
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2021, 13 (01) : 217 - 238
  • [3] RULED HYPERSURFACES OF EUCLIDEAN-SPACE
    ABE, K
    BLAIR, DE
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1987, 17 (04) : 697 - 708
  • [4] Cyclic and ruled Lagrangian surfaces in Euclidean four space
    Anciaux, Henri
    Romon, Pascal
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2009, 40 (03): : 341 - 369
  • [5] Ruled like surfaces in three dimensional Euclidean space
    Pal, Buddhadev
    Kumar, Santosh
    ANNALES MATHEMATICAE ET INFORMATICAE, 2023, 59 : 83 - 101
  • [6] Quasi Ruled Surfaces in Euclidean 3-space
    Elsharkawy, Ayman
    Elsayied, Hoda K.
    Refaat, Aya
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [7] Cyclic and ruled Lagrangian surfaces in Euclidean four space
    Henri Anciaux
    Pascal Romon
    Bulletin of the Brazilian Mathematical Society, New Series, 2009, 40 : 341 - 369
  • [8] BELTRAMI-EULER FORMULAS OF GENERALIZED SEMI-RULED SURFACE IN SEMI EUCLIDEAN SPACE
    Akyigit, Mahmut
    Ersoy, Soley
    Tosun, Murat
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (01): : 105 - 115
  • [9] q-Offset and q-Mannheim offset of ruled surface
    Kasap, Emin
    Guler, Fatma
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2023, 16 (04): : 133 - 142
  • [10] Structure and characterization of ruled surfaces in Euclidean 3-space
    Yu, Yanhua
    Liu, Huili
    Dal Jung, Seoung
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 233 : 252 - 259
12345