Recent developments and some open problems in Finsler geometry (Q1428854)

Several recent developments and open problems in Finsler geometry are presented. After a brief description of the three classes of geometric invariants on a Finsler space, the authors address the following themes: - the extrinsic geometric invariants for submanifolds in a Finsler manifold; - the harmonic maps between Finsler manifolds and nonlinear spectral theory; - the relations between topological invariants and geometric invariants on Finsler manifolds.