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arXiv · 2403.19671

Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map

Ahmet Kazan·Mustafa Altin·Nurettin Cenk Turgay
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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 $L_1$ and $L_2$, where $L_1$ 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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Ahmet Kazan, Mustafa Altin, Nurettin Cenk Turgay. 2024-02-17. Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map. https://arxiv.org/abs/2403.19671

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