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.
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页数：12
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