CONSTANT CURVATURE FACTORABLE SURFACES IN 3-DIMENSIONAL ISOTROPIC SPACE

被引：2

作者：

Aydin, Muhittin Evren ^{[1
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23200 Elazig, Turkey

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 01期

关键词：

isotropic space; factorable surface; isotropic mean curvature; isotropic Gaussian curvature; MINIMAL TRANSLATION SURFACES; GEOMETRY; HYPERSURFACES;

D O I：

10.4134/JKMS.j160767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study and classify factorable surfaces in a 3-dimensional isotropic space with constant isotropic Gaussian (K) and mean curvature (H). We provide a non-existence result relating to such surfaces satisfying H/K - const. Several examples are also illustrated.

引用

页码：59 / 71

页数：13

共 50 条

[21] DISPARITY CURVATURE AND THE PERCEPTION OF 3-DIMENSIONAL SURFACES
ROGERS, B
CAGENELLO, R
NATURE, 1989, 339 (6220) : 135 - 137
[22] CLOSED 3-DIMENSIONAL HYPERSURFACES WITH CONSTANT MEAN-CURVATURE AND CONSTANT SCALAR CURVATURE
DEALMEIDA, SC
BRITO, FGB
DUKE MATHEMATICAL JOURNAL, 1990, 61 (01) : 195 - 206
[23] Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
Schmitt, N.
Kilian, M.
Kobayashi, S.-P.
Rossman, W.
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 75 : 563 - 581
[24] 3-DIMENSIONAL COSMOLOGICAL GRAVITY - DYNAMICS OF CONSTANT CURVATURE
DESER, S
JACKIW, R
ANNALS OF PHYSICS, 1984, 153 (02) : 405 - 416
[25] CHARACTERIZATION OF 3-DIMENSIONAL RIEMANNIAN MANIFOLDS OF CONSTANT CURVATURE
ERBACHER, JA
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1106 - &
[26] Uncertainty Principle on 3-Dimensional Manifolds of Constant Curvature
Thomas Schürmann
Foundations of Physics, 2018, 48 : 716 - 725
[27] Uncertainty Principle on 3-Dimensional Manifolds of Constant Curvature
Schuermann, Thomas
FOUNDATIONS OF PHYSICS, 2018, 48 (06) : 716 - 725
[28] MOTION OF SURFACES IN 3-DIMENSIONAL SPACE
NAKAYAMA, K
WADATI, M
MATHEMATICS AND COMPUTERS IN SIMULATION, 1994, 37 (4-5) : 417 - 430
[29] The DPW method for constant mean curvature surfaces in 3-dimensional Lorentzian spaceforms, with applications to Smyth type surfaces
Ogata, Yuta
HOKKAIDO MATHEMATICAL JOURNAL, 2017, 46 (03) : 315 - 350
[30] Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
Honda, Atsufumi
Koiso, Miyuki
Kokubu, Masatoshi
Umehara, Masaaki
Yamada, Kotaro
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 52 : 64 - 77

← 1 2 3 4 5 →