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math.DG2024
λ-Biharmonic hypersurfaces in the product space L^{m}\times \mathbb{R}
Chao Yang, Zhen Zhao
In this paper, we study λ-biharmonic hypersurfaces in the product space L^{m}\times\mathbb{R}, where L^{m} is an Einstein space and \mathbb{R} is a real line. We prove that λ-bihar…
math.DG2024
PMCV hypersurfaces in non-flat pseudo-Riemannian space forms
Chao Yang, Jiancheng Liu, Li Du
In this paper, we prove that PMCV (i.e. Δ\vec{H} is proportional to \vec{H}) hypersurface M^n_r of a non-flat pseudo-Riemannian space form N^{n+1}_s(c) with at most two distinct pr…
math.DG2023
Four dimensional hypersurfaces with proper mean curvature vector field in pseudo-Riemannian space forms
Chao Yang, Jiancheng Liu, Li Du
In this paper, we study four dimensional hypersurface M^4_r with proper mean curvature vector field (i.e. Δ\vec{H} is proportional to \vec{H}) in pseudo-Riemannian space form N^5_s…