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Ella Pavlechko, Determination of a strictly convex and non-trapping Riemannian Manifold from partial travel time data
November 8, 2021 | 3:00 pm - 4:00 pm EST
In this talk we will introduce a geometric inverse problem arising from geophysical imaging. Take (M,g) to be a smooth, compact, and strictly convex Riemannian manifold with smooth boundary. Let Γ be a nonempty open subset of the boundary. For each p in M we obtain the boundary distance function d(p,z), where z is in Γ. Given Γ and {d(p,z) in C(Γ) : p in M, z in Γ } we will provide preliminary results about determining (M,g) up to Riemannian isometry.