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

页码：71 / 79

页数：9

共 28 条

[1] [Anonymous], SEMIRIEMANNIAN GEOME
[2] [Anonymous], IASI
[3] [Anonymous], 1998, Kyushu J. Math., DOI DOI 10.2206/KYUSHUJM.52.167
[4] [Anonymous], ANN MAT PURA APPL
[5] Biharmonic Lorentz hypersurfaces in E14
Arvanitoyeorgos, Andreas
Defever, Filip
Kaimakamis, George
Papantoniou, Vassilis J.
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2007, 229 (02) : 293 - 305
[6] Classification results for biharmonic submanifolds in spheres
Balmus, A.
Montaldo, S.
Oniciuc, C.
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2008, 168 (01) : 201 - 220
[7] Classification results and new examples of proper biharmonic submanifolds in spheres
Balmus, Adina
Montaldo, Stefano
Oniciuc, Cezar
[J]. NOTE DI MATEMATICA, 2008, 28 : 49 - 61
[8] Balmus A, 2010, J GEOM SYMMETRY PHYS, V17, P87
[9] Biharmonic hypersurfaces in 4-dimensional space forms
Balmus, Adina
Montaldo, Stefano
Oniciuc, Cezar
[J]. MATHEMATISCHE NACHRICHTEN, 2010, 283 (12) : 1696 - 1705
[10] Null scrolls as fluctuating surfaces: a new simple way to construct extrinsic string solutions
Barros, Manuel
Ferrandez, Angel
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2012, (05):

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