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

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