Invariant surfaces of a three-dimensional manifold with constant Gauss curvature

被引：22

作者：

Montaldo, S

Onnis, IO

机构：

[1] Univ Cagliari, Dipartimento Matemat, I-09124 Cagliari, Italy

[2] UNICAMP, IMECC, Inst Matemat Estat & Computacao Cient, BR-13083859 Campinas, SP, Brazil

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2005年 / 55卷 / 04期

关键词：

invariant surfaces; Gauss curvature;

D O I：

10.1016/j.geomphys.2005.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a reduction procedure to determine (locally) the surfaces with constant Gauss curvature in a three-dimensional manifold which are invariant under the action of a one-parameter subgroup of the isometry group of the ambient space. We apply this procedure to describe the invariant surfaces with constant Gauss curvature in H-2 x R and in H-3 (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：440 / 449

页数：10

共 50 条

[41] Three-dimensional numerical manifold method for seepage problems with free surfaces
Jiang Qing-hui
Deng Shu-shen
Zhou Chuang-bing
ROCK AND SOIL MECHANICS, 2011, 32 (03) : 879 - 884
[42] Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature
Dong, Shi-Hai
Najafizade, Amene
Panahi, Hossein
Chung, Won Sang
Hassanabadi, Hassan
ANNALS OF PHYSICS, 2022, 444
[43] CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE
Hamdoon, Fathi M.
Ali, Ahmad T.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2013, 6 (01): : 68 - 78
[44] Abutting Objects Warp the Three-Dimensional Curvature of Modally Completing Surfaces
Tse, Peter U.
I-PERCEPTION, 2020, 11 (02):
[45] Normal curvature approach milling technique for machining three-dimensional surfaces
Yi, X
Gao, D
COMPUTER-AIDED PRODUCTION ENGINEERING, 2001, : 229 - 233
[46] Constant mean curvature surfaces with three ends
Grosse-Brauckmann, K
Kusner, RB
Sullivan, JM
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2000, 97 (26) : 14067 - 14068
[47] On Minimal Surfaces in Space Forms Whose Gauss Imageshave Constant Curvature
Makoto SAKAKI(Dpartment of Mathematics
数学季刊, 1995, (04) : 74 - 77
[48] Quantization of a particle on a two-dimensional manifold of constant curvature
Bracken, Paul
JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (10) : 1 - 8
[49] Physical topology of three-dimensional unsteady flows with spheroidal invariant surfaces
Contreras, P. S.
Speetjens, M. F. M.
Clercx, H. J. H.
PHYSICAL REVIEW E, 2020, 101 (05)
[50] Asymptotic behavior of solutions to the equation of constant mean curvature on a three-dimensional region
Heriot-Watt Univ, Edinburgh, United Kingdom
Meccanica, 5 (597-606):

← 1 2 3 4 5 →