David Bao

On Randers spaces of constant flag curvature

This paper concerns a ubiquitous class of Finsler metrics on smooth manifolds of dimension n. These are the Randers metrics. They figure prominently in both the theory and the applications of Finsler geometry. For n ≥ 3, we consider only those with constant flag curvature. For n = 2, we focus on those whose flag curvature is a (possibly constant) function of position only. We characterize such metrics by three efficient conditions. With the help of examples in 2 and 3 dimensions, we deduce that the Yasuda-Shimada classification of Randers space forms actually addresses only a special case. The corrected classification for that special case is sharp, holds for n ≥ 2, and follows readily from our three necessary and sufficient conditions.

Finsler Metrics of Constant Positive Curvature on the Lie Group S3

Guided by the Hopf fibration, a family (indexed by a positive constant

On the Volume of Unit Tangent Spheres in a Pinsler Manifold

K

Harnack-type inequalities for evolution equations

) of right invariant Riemannian metrics on the Lie group

Randers space forms

S^3

The dynamics of the Einstein-Dirac system. I. A principal bundle formulation of the theory and its canonical analysis

is singled out. Using the Yasuda–Shimada paper as an inspiration, a privileged right invariant Killing field of constant length is determined for each

A sufficient condition for the linearization stability of N=1 supergravity: a preliminary report

K > 1

A Geometric Inequality and a Weitzenböck Formula for Finsler Surfaces

. Each such Riemannian metric couples with the corresponding Killing field to produce a

The Chern Connection

y

Curvature and Schur’s Lemma

-global and explicit Randers metric on