The main focus of this paper is concern to the study on the point-wise Osserman structure on 4-dimensional Lorentzian Lie group. In this paper we study on the spectrum of the Jacobi operator and spectrum of the skew-symmetric curvature operator on the non-abelian 4-dimensional Lie group G, whenever G equipped with an orthonormal left invariant pseudo-Riemannian metric g of signature (-;+;+; +), i.e, Lorentzian metric, where e1 is a unit time-like vector. The Lie algebra structure in dimension four has key role in our investigation, also in this case we study on the classification of 1-Stein and mixed IP spaces. At the end we show that G does not admit any space form and Einstein structures.
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Seifipour, D. (2022). On the spectral geometry of 4-dimensional Lorentzian Lie group. Journal of Finsler Geometry and its Applications, 3(2), 99-118. doi: 10.22098/jfga.2022.11917.1080
MLA
Davood Seifipour. "On the spectral geometry of 4-dimensional Lorentzian Lie group", Journal of Finsler Geometry and its Applications, 3, 2, 2022, 99-118. doi: 10.22098/jfga.2022.11917.1080
HARVARD
Seifipour, D. (2022). 'On the spectral geometry of 4-dimensional Lorentzian Lie group', Journal of Finsler Geometry and its Applications, 3(2), pp. 99-118. doi: 10.22098/jfga.2022.11917.1080
VANCOUVER
Seifipour, D. On the spectral geometry of 4-dimensional Lorentzian Lie group. Journal of Finsler Geometry and its Applications, 2022; 3(2): 99-118. doi: 10.22098/jfga.2022.11917.1080
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