Geodesic
Boundary rigidity for Randers metrics
Keijo Mönkkönen1
1University of Jyväskylä, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 89-102

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  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.
DOI : 10.54330/afm.112492
Keywords: Inverse problems, boundary rigidity, travel time tomography

Keijo Mönkkönen  1

1 University of Jyväskylä, Department of Mathematics and Statistics 
Keijo Mönkkönen. Boundary rigidity for Randers metrics. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 89-102. doi: 10.54330/afm.112492
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