GENERAL ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN PSEUDO-EUCLIDEAN SPACE E24

被引：14
|
作者：
Aksoyak, Ferdag Kahraman [1 ]
Yayli, Yusuf [2 ]
机构：
[1] Ahi Evran Univ, Elementary Math Teacher Educ, Kirsehir, Turkey
[2] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2015年 / 46卷 / 01期
关键词：
Rotation surface; Gauss map; Pointwise 1-type Gauss map; pseudo-Euclidean space; MINKOWSKI SPACE; RULED SURFACES; E-4;
D O I：
10.1007/s13226-015-0112-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study general rotational surfaces in the 4- dimensional pseudo-Euclidean space E-2(4) and obtain a characterization of flat general rotation surfaces with pointwise 1-type Gauss map in E-2(4) and give an example of such surfaces.
引用
收藏
页码：107 / 118
页数：12
相关论文
共 50 条
  • [21] CLASSIFICATION OF RULED SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
    Choi, Miekyung
    Kim, Young Ho
    Yoon, Dae Won
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1297 - 1308
  • [22] TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
    Arslan, Kadri
    Bulca, Betul
    Kilic, Bengu
    Kim, Young Ho
    Murathan, Cengizhan
    Ozturk, Gunay
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (03) : 601 - 609
  • [23] The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space
    Li, Yanlin
    Eren, Kemal
    Ayvaci, Kebire Hilal
    Ersoy, Soley
    AIMS MATHEMATICS, 2023, 8 (01): : 2226 - 2239
  • [24] SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND
    Kim, Dong-Soo
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2012, 19 (03): : 229 - 237
  • [25] Tubular Surface Having Pointwise 1-type Gauss Map in Euclidean 4-Space
    Kisi, Ilim
    Ozturk, Gunay
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2019, 12 (02): : 202 - 209
  • [26] Timelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E14 with Pointwise 1-Type Gauss Map
    Bektas, Burcu
    Dursun, Ugur
    FILOMAT, 2015, 29 (03) : 381 - 392
  • [27] Spacelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E14 with Pointwise 1-Type Gauss Map
    Dursun, Ugur
    Bektas, Burcu
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2014, 17 (1-2) : 247 - 263
  • [28] SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 3-SPACE
    Ki, U-Hang
    Kim, Dong-Soo
    Kim, Young Ho
    Roh, Young-Mee
    TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (01): : 317 - 338
  • [29] Homothetic Motion and Surfaces with Pointwise 1-Type Gauss Map in E4
    Aksoyak, Ferdag Kahraman
    Yayli, Yusuf
    PROCEEDINGS BOOK OF INTERNATIONAL WORKSHOP ON THEORY OF SUBMANIFOLDS, VOL 1, 2016, 2017, : 80 - 95
  • [30] Invariant surfaces with pointwise 1-type Gauss map in Sol(3)
    Yoon, Dae Won
    JOURNAL OF GEOMETRY, 2015, 106 (03) : 503 - 512
12345