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math.DG2009
Scattering rigidity for analytic Riemannian manifolds with a possible magnetic field
Pilar Herreros, James Vargo
Consider a compact Riemannian manifold with boundary endowed with a magnetic field. A path taken by a particle of unit charge, mass, and energy is called a magnetic geodesic. It is…
math.DG2008★ 1 cited
A proof of Lens Rigidity in the category of Analytic Metrics
James Vargo
Consider a compact Riemannian manifold with boundary. Assume all maximally extended geodesics intersect the boundary at both ends. Then to each maximal geodesic segment one can for…
math.DG2005
The indefinite metric of R. Mrugala and the geometry of the thermodynamical phase space
Serge Preston, James Vargo
We study the indefinite metric in the contact phase space of a homogeneous thermodynamical system introduced by R. Mrugala. We calculate the curvature tensor, Killing v…