مشخصات پژوهش

عنوان	Classification of some geometric structures on 4-dimensional Riemannian Lie group
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Lie group, pointwise Osserman, sectional curvature, 2-Stein.
چکیده	In this paper we study the spectral geometry of a 4-dimensional Lie group. The main focus of this paper is to study the 2-Stein and 2-Osserman structures on a 4-dimensional Riemannian Lie group. In this paper, we study the spectrum and trace of Jacobi operator and also we study the characteristic polynomial of generalized Jacobi operator on the non-abelian 4-dimensional Lie group G, whenever G is equipped with an orthonormal left invariant Riemannian metric g . The Lie algebra structures in dimension four have key role in this paper. It is known that in the classification of 4-dimensional non-abelian Lie algebras there are nineteen classes of Lie algebras up to isomorphism [12]. We consider these classes and study all of them. Finally, we study the space form problem and spectral properties of Szabo operator on G.
پژوهشگران	داود سیفی پور (نفر دوم)، اسماعیل پیغان (نفر اول)