Surfaces with Constant Negative Curvature

被引：0

作者：

Nurkan, Semra Kaya ^{[1
]}

Gurgil, Ibrahim ^{[1
]}

机构：

[1] Usak Univ, Fac Arts & Sci, Dept Math, TR-64200 Usak, Turkiye

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

negative Gaussian curvature; constant negative Gaussian curvature; simply isotropic 3-space; DIFFERENTIAL GEOMETRY; TRANSLATION SURFACES; ISOTROPIC SPACE;

D O I：

10.3390/sym15050997

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have considered surfaces with constant negative Gaussian curvature in the simply isotropic 3-Space by defined Sauer and Strubeckerr. Firstly, we have studied the isotropic II-flat, isotropic minimal and isotropic II-minimal, the constant second Gaussian curvature, and the constant mean curvature of surfaces with constant negative curvature (SCNC) in the simply isotropic 3-space. Surfaces with symmetry are obtained when the mean curvatures are equal. Further, we have investigated the constant Casorati, the tangential and the amalgamatic curvatures of SCNC.

引用

页数：12

共 50 条

[41] GLOBAL TSCHEBYSCHEV NETWORKS ON RIEMANN MANIFOLDS AND CONTINUATION OF SURFACES OF CONSTANT NEGATIVE CURVATURE
WISSLER, C
COMMENTARII MATHEMATICI HELVETICI, 1972, 47 (03) : 348 - 372
[42] PERTURBATIONS OF GEODESIC-FLOWS ON SURFACES OF CONSTANT NEGATIVE CURVATURE AND THEIR MIXING PROPERTIES
COLLET, P
EPSTEIN, H
GALLAVOTTI, G
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 95 (01) : 61 - 112
[43] Quantization of periodic motions on compact surfaces of constant negative curvature in a magnetic field
Bruening, J.
Nekrasov, R. V.
Shafarevich, A. I.
MATHEMATICAL NOTES, 2007, 81 (1-2) : 28 - 36
[44] GAUSS CURVATURE ESTIMATES FOR SURFACES OF CONSTANT MEAN CURVATURE
SPRUCK, J
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (04) : 547 - 557
[45] SURFACES OF NONPOSITIVE EXTRINSIC CURVATURE IN SPACES OF CONSTANT CURVATURE
BORISENKO, AA
MATHEMATICS OF THE USSR-SBORNIK, 1981, 114 (03): : 297 - 310
[46] Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature
Lopez, Rafael
Demir, Esma
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (09): : 1349 - 1361
[47] RIGIDITY OF SURFACES OF NEGATIVE CURVATURE
KANTOR, BE
SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (05) : 777 - 781
[48] A New Look at Surfaces of Constant Curvature
Apostol, Tom M.
Mnatsakanian, Mamikon A.
AMERICAN MATHEMATICAL MONTHLY, 2016, 123 (05): : 439 - 447
[49] Surfaces of constant mean curvature.
Eisenhart, LP
AMERICAN JOURNAL OF MATHEMATICS, 1903, 25 : 383 - 396
[50] THE CONSTRUCTION OF SOME AUTOMODEL SOLUTIONS OF FUNDAMENTAL EQUATIONS OF THE THEORY OF SURFACES OF THE CONSTANT NEGATIVE CURVATURE
POPOV, AG
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1986, (05): : 74 - 76

← 1 2 3 4 5 →