Surfaces with Constant Negative Curvature-Reference-Cited by-同舟云学术

Surfaces with Constant Negative Curvature

Published:2023-04-28 Issue:5 Volume:15 Page:997
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Nurkan Semra Kaya¹^ORCID,Gürgil İbrahim¹

Affiliation:

1. Department of Mathematics, Faculty of Arts and Science, Usak University, TR-64200 Usak, Turkey

Abstract

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/5/997/pdf

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