TY - JOUR AU - Mönkkönen, Keijo PY - 2021/12/01 Y2 - 2024/03/29 TI - Boundary rigidity for Randers metrics JF - Annales Fennici Mathematici JA - Ann. Fenn. Math. VL - 47 IS - 1 SE - Articles DO - 10.54330/afm.112492 UR - https://afm.journal.fi/article/view/112492 SP - 89-102 AB - <p>&nbsp;</p><pre>If a non-reversible Finsler norm is the sum of a reversible Finsler norm and a closed 1-form, then one can uniquely recover the 1-form up to potential fields from the boundary distance data. We also show a boundary rigidity result for Randers metrics where the reversible Finsler norm is induced by a Riemannian metric which is boundary rigid. Our theorems generalize Riemannian boundary rigidity results to some non-reversible Finsler manifolds. We provide an application to seismology where the seismic wave propagates in a moving medium.</pre> ER -