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Mehdi Rafie-Rad

Mehdi Rafie-Rad

Academic rank: Associate Professor
ORCID: 0000-0002-8214-3835
Education: PhD.
ScopusId: 23493274700
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302464

Research

Title
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Type
JournalPaper
Keywords
Randers metric; constant flag curvature; projective vector field; projective algebra
Year
2011
Journal Symmetry, Integrability and Geometry: Methods and Applications
DOI
Researchers Mehdi Rafie-Rad ، Bahman Rezaei

Abstract

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 .