General rotational surfaces in Euclidean space E4 with pointwise 1-type Gauss map

被引：0
作者：
Dursun, Ugur [1 ]
Turgay, Nurretin Cenk [1 ]
机构：
[1] Istanbul Tech Univ, Fac Sci & Letter, Dept Math, TR-34469 Istanbul, Turkey
来源：
MATHEMATICAL COMMUNICATIONS | 2012年 / 17卷 / 01期
关键词：
Rotational surfaces; minimal surface; normal bundle; mean curvature; pointwise; 1-type; Gauss map;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study general rotational surfaces in E-4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E-4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E-4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E-4 with proper pointwise 1-type Gauss map of the second kind.
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页码：71 / 81
页数：11
相关论文
共 20 条
  • [1] Rotational embeddings in E4 with pointwise 1-type gauss map
    Arslan, Kadri
    Bayram, Bengu Kilic
    Bulca, Betul
    Kim, Young Ho
    Murathan, Cengizhan
    Ozturk, Gunay
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (03) : 493 - 499
  • [2] ON THE GAUSS MAP OF RULED SURFACES
    BAIKOUSSIS, C
    BLAIR, DE
    [J]. GLASGOW MATHEMATICAL JOURNAL, 1992, 34 : 355 - 359
  • [3] Baikoussis C, 1995, RESULTS MATH, V28, P214, DOI DOI 10.1007/BF03322254
  • [4] Baikoussis C., 1993, Tokyo J. Math, V16, P341, DOI [10.3836/tjm/1270128488, DOI 10.3836/TJM/1270128488]
  • [5] Chen B. -Y., 1984, TOTAL MEAN CURVATURE
  • [6] SUBMANIFOLDS WITH FINITE-TYPE GAUSS MAP
    CHEN, BY
    PICCINNI, P
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1987, 35 (02) : 161 - 186
  • [7] Chen BY, 2005, J KOREAN MATH SOC, V42, P447
  • [8] Chen BY., 1983, Soochow J. Math, V9, P65
  • [9] Choi M., 2001, Bull. Korean Math. Soc, V38, P753
  • [10] HELICOIDAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
    Choi, Miekyung
    Kim, Dong-Soo
    Kim, Young Ho
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (01) : 215 - 223
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