Inverse Problems for Twisted Geodesic Flows

2024/10/07 by Shubham R. Jathar, Jathar, Shubham R., Jesse Railo +1 · 1 citation
Engineering · #37E35 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Primary 44A12 #Secondary 58C99

paper · pdf · doi:10.48550/arxiv.2410.04911

openalex publication_date 2024/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article surveys inverse problems related to the twisted geodesic flows on Riemannian manifolds with boundary, focusing on the generalized ray transforms, tensor tomography, and rigidity problems. The twisted geodesic flow generalizes the usual geodesic flow, allowing to model richer dynamics.

Cited by

• The matrix weighted real-analytic double fibration transforms

Related

• Geodesic tomography problems on Riemannian manifolds
• Rigidity of broken geodesic flow and inverse problems
• Integral geometry on manifolds with boundary and applications
• Numerical implementation of geodesic X-ray transforms and their\n inversion
• The inverse problem for the local ray transform