THE GAUSS MAP FOR KAHLERIAN SUBMANIFOLDS OF R(N)

被引：6
|
作者：
RIGOLI, M [1 ]
TRIBUZY, R [1 ]
机构：
[1] INT CTR THEORET PHYS,I-34100 TRIESTE,ITALY
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 332卷 / 02期
关键词：
D O I：
10.2307/2154180
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a Gauss map for Kahler submanifolds of Euclidean space and study its geometry in relation to that of the given immersion. In particular we generalize a number of results of the classical theory of minimal surfaces in Euclidean space.
引用
收藏
页码：515 / 528
页数：14
相关论文
共 50 条
  • [41] Pseudo-Spherical Submanifolds with 1-Type Pseudo-Spherical Gauss Map
    Bektas, Burcu
    Canfes, Elif Ozkara
    Dursun, Ugur
    RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 867 - 887
  • [42] LORENTZIAN SUBMANIFOLDS IN SEMI-EUCLIDEAN SPACES WITH POINTWISE 1-TYPE GAUSS MAP
    Turgay, Nurettin C.
    PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION, 2016, : 344 - 359
  • [43] Pseudo-Spherical Submanifolds with 1-Type Pseudo-Spherical Gauss Map
    Burcu Bektaş
    Elif Özkara Canfes
    Uğur Dursun
    Results in Mathematics, 2017, 71 : 867 - 887
  • [44] Kahlerian potentials and convexity properties of the moment map
    Heinzner, P
    Huckleberry, A
    INVENTIONES MATHEMATICAE, 1996, 126 (01) : 65 - 84
  • [45] On the Structure of Submanifolds with Degenerate Gauss Maps
    Maks A. Akivis
    Vladislav V. Goldberg
    Geometriae Dedicata, 2001, 86 : 205 - 226
  • [46] CR submanifolds in a sphere and their Gauss maps
    CHENG XiaoLiang
    JI ShanYu
    LIU WeiMing
    Science China Mathematics, 2013, 56 (05) : 1042 - 1050
  • [47] GAUSS PARAMETRIZATIONS AND RIGIDITY ASPECTS OF SUBMANIFOLDS
    DAJCZER, M
    GROMOLL, D
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1985, 22 (01) : 1 - 12
  • [48] Submanifolds with totally umbilical Gauss image
    Nikolayevsky, YA
    GEOMETRIAE DEDICATA, 1996, 62 (02) : 115 - 138
  • [49] CR submanifolds in a sphere and their Gauss maps
    Cheng XiaoLiang
    Ji ShanYu
    Liu WeiMing
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (05) : 1041 - 1049
  • [50] On the structure of submanifolds with degenerate Gauss maps
    Akivis, MA
    Goldberg, VV
    GEOMETRIAE DEDICATA, 2001, 86 (1-3) : 205 - 226
12345