Surfaces with Constant Negative Curvature

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Nurkan S. K., GÜRGİL İ.

Symmetry, vol.15, no.5, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.3390/sym15050997
  • Journal Name: Symmetry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: constant negative Gaussian curvature, negative Gaussian curvature, simply isotropic 3-space
  • Uşak University Affiliated: Yes

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 (Formula presented.) -flat, isotropic minimal and isotropic (Formula presented.) -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.