Abstract
We prove that a compact two-dimensional Riemannian manifold with strictly convex boundary and with no focal points is deformation boundary rigid. We also show, using similar methods, that two-dimensional Anosov manifolds with no focal points are spectrally rigid.
Citation
Vladimir Sharafutdinov. Gunther Uhlmann. "On Deformation Boundary Rigidity and Spectral Rigidity of Riemannian Surfaces with No Focal Points." J. Differential Geom. 56 (1) 93 - 110, September, 2000. https://doi.org/10.4310/jdg/1090347526
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