Abstract
References
- [1] L. Alias, A. Ferrández and P. Lucas, Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying ∆x = Ax + B, Pacific J. Math. 156 (2), 201-208, 1992.
SOME CLASSIFICATIONS FOR GAUSS MAP OF TUBULAR HYPERSURFACES IN E^4_1 CONCERNING LINEARIZED OPERATORS L_k
Abstract
In this study, we deal with the Gauss map of tubular hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linearized operators L_1 (Cheng-Yau) and L_2. We obtain the L_1 (Cheng-Yau) operator of the Gauss map of tubular hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers lie on timelike or spacelike curves with non-null Frenet vectors in E^4_1 and give some classifications for
these hypersurfaces which have generalized L_k 1-type Gauss map, first kind L_k-pointwise 1-type Gauss map, second kind L_k-pointwise 1-type Gauss map and L_k-harmonic Gauss map, k ∈ {1,2}.
Keywords
Tubular hypersurface L1 (Cheng-Yau) operator L2 operator Generalized Lk 1-type Gauss map First and second kind Lk-pointwise 1-type Gauss map Lk-harmonic Gauss map.
References
- [1] L. Alias, A. Ferrández and P. Lucas, Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying ∆x = Ax + B, Pacific J. Math. 156 (2), 201-208, 1992.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebraic and Differential Geometry |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | January 27, 2025 |
| Publication Date | |
| Submission Date | April 15, 2024 |
| Acceptance Date | November 21, 2024 |
| Published in Issue | Year 2025 Early Access |