Details

Autor(en) / Beteiligte

• Jathar, Shubham R.
• Kar, Manas
• Railo, Jesse

Titel

Broken Ray Transform for Twisted Geodesics on Surfaces with a Reflecting Obstacle

Ist Teil von

• The Journal of geometric analysis, 2024-07, Vol.34 (7), Article 212

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove a uniqueness result for the broken ray transform acting on the sums of functions and 1-forms on surfaces in the presence of an external force and a reflecting obstacle. We assume that the considered twisted geodesic flows have nonpositive curvature. The broken rays are generated from the twisted geodesic flows by the law of reflection on the boundary of a suitably convex obstacle. Our work generalizes recent results for the broken geodesic ray transform on surfaces to more general families of curves including the magnetic flows and Gaussian thermostats.