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Seifipour, Davood. (1401). On the spectral geometry of 4-dimensional Lorentzian Lie group. سامانه مدیریت نشریات علمی, 3(2), 99-118. doi: 10.22098/jfga.2022.11917.1080
Davood Seifipour. "On the spectral geometry of 4-dimensional Lorentzian Lie group". سامانه مدیریت نشریات علمی, 3, 2, 1401, 99-118. doi: 10.22098/jfga.2022.11917.1080
Seifipour, Davood. (1401). 'On the spectral geometry of 4-dimensional Lorentzian Lie group', سامانه مدیریت نشریات علمی, 3(2), pp. 99-118. doi: 10.22098/jfga.2022.11917.1080
Seifipour, Davood. On the spectral geometry of 4-dimensional Lorentzian Lie group. سامانه مدیریت نشریات علمی, 1401; 3(2): 99-118. doi: 10.22098/jfga.2022.11917.1080

On the spectral geometry of 4-dimensional Lorentzian Lie group

Journal of Finsler Geometry and its Applications
دوره 3، شماره 2، اسفند 2022، صفحه 99-118    اصل مقاله (210.36 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.11917.1080
نویسنده
Davood Seifipour*
Department of Mathematics, Abadan Branch, Islamic Azad University, Abadan, Iran
چکیده
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.
کلیدواژه‌ها
Codazzi space؛ statistical manifold؛ Lie group
مراجع
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