LORENTZIAN SUBMANIFOLDS IN SEMI-EUCLIDEAN SPACES WITH POINTWISE 1-TYPE GAUSS MAP

被引：1
|
作者：
Turgay, Nurettin C. [1 ]
机构：
[1] Istanbul Tech Univ, Dept Math, TR-34469 Istanbul, Turkey
来源：
PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2016年
关键词：
finite type submanifolds; L-k operators; minimal surfaces; marginally trapped surfaces; pointwise 1-type Gauss map; rotational surfaces; COMPLETE MINIMAL HYPERSURFACES; GENERAL ROTATIONAL SURFACES; MINKOWSKI; 4-SPACE; E-4; THEOREM;
D O I：
10.7546/giq-17-2016-344-359
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work first, we survey the most recent classification results for submanifolds with pointwise 1-type Gauss map. Then, we study a class of hypersurfaces with vanishing Gauss-Kronecker curvature in terms of type of their Gauss map.
引用
收藏
页码：344 / 359
页数：16
相关论文
共 11 条
  • [1] Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map
    Chen, Bang-Yen
    Guler, Erhan
    Yayli, Yusuf
    Hacisalihoglu, Hasan Hilmi
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2023, 16 (01): : 4 - 47
  • [2] ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
    Dursun, Ugur
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (01) : 301 - 312
  • [3] General rotational surfaces in Euclidean space E4 with pointwise 1-type Gauss map
    Dursun, Ugur
    Turgay, Nurretin Cenk
    MATHEMATICAL COMMUNICATIONS, 2012, 17 (01) : 71 - 81
  • [4] A NEW TYPE OF TUBULAR SURFAC EHAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE E4
    Kisi, Ilim
    Ozturk, Gunay
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (04) : 923 - 938
  • [5] Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space
    Milousheva, Velichka
    Turgay, Nurettin Cenk
    JOURNAL OF GEOMETRY AND PHYSICS, 2016, 106 : 171 - 183
  • [6] SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP IN PSEUDO-GALILEAN SPACE
    Choi, Miekyung
    Yoon, Dae Won
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (02) : 519 - 530
  • [7] On Pseudo-Umbilical Rotational Surfaces with Pointwise 1-Type Gauss Map in E24
    Bektas, Burcu
    Canfes, Elif Ozkara
    Dursun, Ugur
    PROCEEDINGS BOOK OF INTERNATIONAL WORKSHOP ON THEORY OF SUBMANIFOLDS, VOL 1, 2016, 2017, : 122 - 139
  • [8] Classifications of Flat Surfaces with Generalized 1-Type Gauss Map in L3
    Yoon, Dae Won
    Kim, Dong-Soo
    Kim, Young Ho
    Lee, Jae Won
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
  • [9] Hypersurfaces with Generalized 1-Type Gauss Maps
    Yoon, Dae Won
    Kim, Dong-Soo
    Kim, Young Ho
    Lee, Jae Won
    MATHEMATICS, 2018, 6 (08)
  • [10] On the Gauss map of minimal Lorentzian surfaces in 4-dimensional semi-Riemannian space forms with index 2
    Canfes, Elif Ozkara
    Turgay, Nurettin Cenk
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 349 - 367
12