Aurel Bejancu and Hani Reda Farran: On the Classification of Randers Manifolds of Constant Curvature, p.227-239

Abstract:

The purpose of the present paper is to state a global classification theorem for a class of proper Randers manifolds of positive constant flag curvature. The model for the classification is the unit sphere $S^{2n+1}$ endowed with a Sasakian space form structure of constant $\vf$-sectional curvature $c\in(-3,1).$

Key Words: constant flag curvature, Finsler isometry, Randers manifolds, Randers spheres, Sasakian space forms.

2000 Mathematics Subject Classification: Primary: 53C60,
Secondary: 53C25.

Download the paper in pdf format here.