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arXiv · 1507.04970

Marked length spectrum rigidity in nonpositive curvature with singularities

David Constantine
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Abstract

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 $>2π$. With an additional condition, we can weaken the requirement on one metric to `no conjugate points.'

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David Constantine. 2015-07-17. Marked length spectrum rigidity in nonpositive curvature with singularities. https://arxiv.org/abs/1507.04970

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