Ruled surfaces in E4 with constant ratio of the Gaussian curvature and Gaussian torsion

被引：0

作者：

Goncharova, O. A. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2008年 / 4卷 / 03期

关键词：

ruled surfaces; Gaussian curvature; Gaussian torsion;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local and global existence theorems on the ruled surfaces with a constant ratio of the Gaussian curvature and Gaussian torsion are proved.

引用

页码：371 / 379

页数：9

共 41 条

[31] Timelike surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map
Aledo, Juan A.
Espinar, José M.
Gálvez, José A.
JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (08) : 1357 - 1369
[32] Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds
Honda, Atsufumi
Saji, Kentaro
Teramoto, Keisuke
ADVANCES IN MATHEMATICS, 2020, 365
[33] SURFACES IN R+3 WITH THE SAME GAUSSIAN CURVATURE INDUCED BY THE EUCLIDEAN AND HYPERBOLIC METRICS
Barroso, Nilton
Roitman, Pedro
PACIFIC JOURNAL OF MATHEMATICS, 2015, 275 (01) : 19 - 37
[34] Designing Bézier surfaces minimizing the L~2-norm of the Gaussian curvature
MO Guo-liang
Journal of Zhejiang University Science A(Science in Engineer, 2007, (01) : 142 - 148
[35] Designing Bézier surfaces minimizing the L2-norm of the Gaussian curvature
Guo-liang Mo
Ming-hua Wu
Journal of Zhejiang University-SCIENCE A, 2007, 8 : 142 - 148
[36] IDENTIFYING CANAL SURFACES IN E4 : CHARACTERIZATION OF A SPECIAL CASE
Gurses, Nurten
JOURNAL OF SCIENCE AND ARTS, 2020, (03) : 647 - 660
[37] Classification of Minimal Lorentzian Surfaces in S24(1) with Constant Gaussian and Normal Curvatures
Dursun, Ugur
Turgay, Nurettin Cenk
TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (06): : 1295 - 1311
[38] An estimate for the Gaussian curvature of minimal surfaces in Rm whose Gauss map is ramified over a set of hyperplanes
Pham Hoang Ha
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, 32 : 130 - 138
[39] MERIDIAN SURFACES IN E4 WITH POINTWISE 1-TYPE GAUSS MAP
Arslan, Kadri
Bulca, Betul
Milousheva, Velichka
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (03) : 911 - 922
[40] SURFACES WITH CONSTANT GAUSSIAN AND MEAN CURVATURES N THE ANTI-DE SITTER SPACE IHI31 3 1
Dursun, Ugur
HONAM MATHEMATICAL JOURNAL, 2024, 46 (02): : 249 - 266

← 1 2 3 4 5 →