On bi-conservative surfaces in Minkowski 3-space

被引：25
|
作者：
Fu, Yu [1 ]
机构：
[1] Dongbei Univ Finance & Econ, Sch Math & Quantitat Econ, Dalian 116025, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2013年 / 66卷
关键词：
Surfaces of revolution; Bi-conservative surfaces; Null scrolls; BIHARMONIC SUBMANIFOLDS; HYPERSURFACES; MAPS;
D O I：
10.1016/j.geomphys.2013.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
R. Caddeo et al. introduced the notion of bi-conservative submanifolds. By definition, such submanifolds have free divergence bi-tensor field, i.e. div S-2 = 0, which is a generalization of biharmonic submanifolds. This work is done by proving that bi-conservative surfaces in the 3-dimensional Minkowski space are locally CMC surfaces, revolution of surfaces or null scrolls. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：71 / 79
页数：9
相关论文
共 50 条
  • [31] BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACE
    Xu, Chuanyou
    Cao, Xifang
    Zhu, Peng
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (02) : 377 - 394
  • [32] A study on timelike circular surfaces in Minkowski 3-space
    Abdel-Baky, Rashad A.
    Alluhaibi, Nadia
    Ali, Akram
    Mofarreh, Fatemah
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (06)
  • [33] On the Gauss map of translation surfaces in Minkowski 3-space
    Yoon, DW
    TAIWANESE JOURNAL OF MATHEMATICS, 2002, 6 (03): : 389 - 398
  • [34] Umbilics of Surfaces in the Lorentz-Minkowski 3-Space
    Ando, Naoya
    Umehara, Masaaki
    RESULTS IN MATHEMATICS, 2023, 78 (06)
  • [35] HENNEBERG'S ALGEBRAIC SURFACES IN MINKOWSKI 3-SPACE
    Gueler, Erhan
    Zambak, Vahit
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1761 - 1773
  • [36] HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE
    Choi, Miekyung
    Kim, Young Ho
    Liu, Huili
    Yoon, Dae Won
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (04) : 859 - 881
  • [37] Singularities for Timelike Developable Surfaces in Minkowski 3-Space
    Li, Yanlin
    Chen, Zhizhi
    Nazra, Sahar H. H.
    Abdel-Baky, Rashad A. A.
    SYMMETRY-BASEL, 2023, 15 (02):
  • [38] HELICOIDAL CDPC-SURFACES IN MINKOWSKI 3-SPACE
    Ji, Fenghui
    Kim, Young Ho
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (06) : 979 - 988
  • [39] Ruled surfaces of Weingarten type in Minkowski 3-space
    Dillen, Franki
    Sodsiri, Wijarn
    JOURNAL OF GEOMETRY, 2005, 83 (1-2) : 10 - 21
  • [40] Entire surfaces of constant curvature in Minkowski 3-space
    Francesco Bonsante
    Andrea Seppi
    Peter Smillie
    Mathematische Annalen, 2019, 374 : 1261 - 1309
12345