ZERO MEAN CURVATURE SURFACES IN ISOTROPIC THREE-SPACE

被引：3

作者：

Seo, Jin Ju ^{[1
]}

Yang, Seong-Deog ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 28041, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Isotropic three-space; zero mean curvature; Weierstrass representation formula; SPACE;

D O I：

10.4134/BKMS.b190783

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the theory of surfaces in the isotropic three-space, with emphases on the surfaces related to the zero mean curvature.

引用

页码：1 / 20

页数：20

共 50 条

[21] Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms
Alias, LJ
Palmer, B
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1998, 124 : 315 - 327
[22] Linear Weingarten Surfaces in Hyperbolic Three-space
Kokubu, Masatoshi
INTERNATIONAL WORKSHOP ON COMPLEX STRUCTURES, INTEGRABILITY AND VECTOR FIELDS, 2011, 1340 : 58 - 65
[23] Translation surfaces with non-zero constant mean curvature in Euclidean space
Thomas Hasanis
Journal of Geometry, 2019, 110
[24] SURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS WITH ZERO MEAN CURVATURE VECTOR
Ando, Naoya
KODAI MATHEMATICAL JOURNAL, 2020, 43 (01) : 193 - 219
[25] Translation surfaces with non-zero constant mean curvature in Euclidean space
Hasanis, Thomas
JOURNAL OF GEOMETRY, 2019, 110 (02)
[26] TRANSLATION SURFACES WITH NON-ZERO CONSTANT TOTAL CURVATURE IN MULTIDIMENSIONAL ISOTROPIC SPACE
Ismoilov, Sherzodbek
Sultanov, Bekzod
Mamadaliyev, Botirjon
Kurudirek, Abdullah
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2025, 43 (01): : 191 - 203
[27] Triunduloids: embedded constant mean curvature surfaces with three ends and genus zero
Grosse-Brauckmann, K
Kusner, RB
Sullivan, JM
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2003, 564 : 35 - 61
[28] Classification Theorems of Ruled Surfaces in Minkowski Three-Space
Choi, Miekyung
Kim, Young Ho
MATHEMATICS, 2018, 6 (12):
[29] CLASSIFICATION OF ZERO MEAN CURVATURE SURFACES OF SEPARABLE TYPE IN LORENTZ-MINKOWSKI SPACE
Kaya, Seher
Lopez, Rafael
TOHOKU MATHEMATICAL JOURNAL, 2022, 74 (02) : 263 - 286
[30] BJORLING PROBLEM FOR ZERO MEAN CURVATURE SURFACES IN THE THREE-DIMENSIONAL LIGHT CONE
Cho, Joseph
Kim, So Young
Lee, Dami
Lee, Wonjoo
Yang, Seong-deog
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (02) : 451 - 467

← 1 2 3 4 5 →