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arxiv: 1507.04970 · v1 · pith:P3AAWOYLnew · submitted 2015-07-17 · 🧮 math.MG · math.DG

Marked length spectrum rigidity in nonpositive curvature with singularities

classification 🧮 math.MG math.DG
keywords lengthmarkedrigiditysingularitiesspectrumadditionalanglesarguments
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Combining several previously known arguments, we prove marked length spectrum rigidity for surfaces with nonpositively curved Riemannian metrics away from a finite set of cone-type singularities with cone angles $>2\pi$. With an additional condition, we can weaken the requirement on one metric to `no conjugate points.'

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