THE AZIMUTHAL EQUIDISTANT PROJECTION FOR A FINSLER MANIFOLD BY THE EXPONENTIAL MAP

Let (M, F) be a geodesically forward complete Finsler manifold and p is an element of M. We observe how the preimage of a curve in M under exponential map at p can behave in the tangent space TpM at p, when the curve approaches a conjugate cut point of p without crossing the cut locus of p. After this investigation, we may regard the internal region of a tangent cut locus of p is an element of M as the development of M. We deal with isometry problems of Finsler manifolds and differentiability conditions of cut loci.