A class of minimal hypersurfaces in ℚ^N(c)

2023/05/03 by Carlos do Rei Filho, Filho, C. do Rei, S. Canevari +1
Mathematics · #53B25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2305.02272

openalex publication_date 2023/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a minimal hypersurfaces f\colon M³ → ℚ⁴(c) with nonzero three distinct principal curvature cannot be isometrically immersed in ℚ⁴(c), c≠ c. In the other cases, we present a description of such hypersurfaces.

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