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math.DG2017
Rigidity of Busemann convex Finsler metrics
Sergei Ivanov, Alexander Lytchak
We prove that a Finsler metric is nonpositively curved in the sense of Busemann if and only if it is affinely equivalent to a Riemannian metric of nonpositive sectional curvature.…
math.DG2017★ 1 cited
Monochromatic Finsler surfaces and a local ellipsoid characterization
Sergei Ivanov
We prove the following localized version of a classical ellipsoid characterization: Let be convex body with a smooth strictly convex boundary and 0 in the int…