Rotational hypersufaces in E⁴₁ with generalized L_k 1-type Gauss map

2024/02/17 by Ahmet Kazan, Kazan, Ahmet, Mustafa Altın +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2403.19671

openalex publication_date 2024/02/17 · openalex created_date 2024/04/03 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators L₁ and L₂, where L₁ is usually called as the Cheng-Yau operator. We obtain some classifications of rotational hypersurfaces which have L_k-harmonic Gauss map, L_k-pointwise 1-type Gauss map and generalized L_k 1-type Gauss map, where k = 1,2.

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