مشخصات پژوهش

صفحه نخست /On the Projective Algebra of ...
عنوان On the Projective Algebra of Randers Metrics of Constant Flag Curvature
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Randers metric; constant flag curvature; projective vector field; projective algebra
چکیده The collection of all projective vector fields on a Finsler space (M, F ) is a finite- dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M, F ) and is the Lie algebra of the projective group P (M, F ). The projective algebra p(M, F = α + β) of a Randers space is characterized as a certain Lie subalgebra of the projective algebra p(M, α). Certain subgroups of the projective group P (M, F ) and their invariants are studied. The projective algebra of Randers metrics of constant flag curvature is studied and it is proved that the dimension of the projective algebra of Randers metrics constant flag curvature on a compact n-manifold either equals n(n + 2) or at most is n(n+1) 2 .
پژوهشگران بهمن رضایی (نفر دوم)، مهدی رفیعی راد (نفر اول)