English

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

General Mathematics 2024-04-01 v1

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 L1L_1 and L2L_2, where L1L_1 is usually called as the Cheng-Yau operator. We obtain some classifications of rotational hypersurfaces which have LkL_k-harmonic Gauss map, LkL_k-pointwise 1-type Gauss map and generalized LkL_k 1-type Gauss map, where k=1,2k = 1,2.

Keywords

Cite

@article{arxiv.2403.19671,
  title  = {Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map},
  author = {Ahmet Kazan and Mustafa Altin and Nurettin Cenk Turgay},
  journal= {arXiv preprint arXiv:2403.19671},
  year   = {2024}
}