2024 : 11 : 23
Firooz Pashaie

Firooz Pashaie

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
ON WEAKLY BIHARMONIC HYPERSURFACES IN LORENTZIAN 5-SPACE FORMS
Type
Presentation
Keywords
1-minimal; Biharmonic; de Sitter space
Year
2023
Researchers Firooz Pashaie ، Leila Shahbaz

Abstract

One of interesting subjects in differential geometry is the biharmonic Lorentzian hypersurfaces of Lorentz 5-space form. A Lorentzian hypersurface ψ : M^4_1 → M^5_1(c) is said to be C-biharmonic if it satisfies the extended biharmonicity condition (C^2)ψ = 0. C is the well-known Cheng-Yau operator. We study weakly C-biharmonic Lorentzian hypersurfaces of M^5_1(c) with at most two distinct principal curvatures and constant mean curvature.