Boundary rigidity for Randers metrics
Keyword(s):
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.
2011 ◽
Vol 08
(07)
◽
pp. 1593-1610
◽
Keyword(s):
2020 ◽
Vol 17
(08)
◽
pp. 2050126
Keyword(s):
2018 ◽
Vol 40
(1)
◽
pp. 117-141
◽
Keyword(s):
2010 ◽
Vol 21
(11)
◽
pp. 1531-1543
◽
Keyword(s):