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math.AP2024
Homogenization on parallelizable Riemannian manifolds
Daniel Faraco, Luis Guijarro, Yaroslav Kurylev +1
We consider the problem of finding the homogenization limit of oscillating linear elliptic equations on an arbitrary parallelizable manifold . We replicate the concept of…
math.AP2007
Rigidity of broken geodesic flow and inverse problems
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
Consider a broken geodesics on a compact Riemannian manifold with boundary of dimension . The broken geodesics are unions of two geodesics with the prop…