On extended H-proper hypersurfaces with three curvatures in the Lorentz 5-pseudosphere

Authors

  • Firooz Pashaie University of Maragheh
  • Ghorbanali Haghighatdoost Azarbaijan Shahid Madani University
  • Sara Hoseinpour Azarbaijan Shahid Madani University
  • Leila Shahbaz University of maragheh

Keywords:

H_2-proper, Lorentz hypersurface, pseudosphere

Abstract

Based on previous researches, the H-proper hypersurfaces ofRiemannian space forms include a wide range of minimal ones. In this paper, we study an extended version of H-properness condition on Lorentz hypersurfaces with three distinct    principal curvatures in   the 5-dimensional Lorentz pseudosphere. The main goal is to prove the 1-minimality of such a hypersurface.

Published

2025-10-05

Issue

Vol. 19

Section

Vol. 19, No. 5, (2025)

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