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- W3100443224 abstract "In this note, we consider the rigidity of the focal decomposition of closed hyperbolic surfaces. We show that, generically, the focal decomposition of a closed hyperbolic surface does not allow for non-trivial topological deformations, without changing the hyperbolic structure of the surface. By classical rigidity theory this is also true in dimension $n geq 3$. Our current result extends a previous result that flat tori in dimension $n geq 2$ that are focally equivalent are isometric modulo rescaling." @default.
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- W3100443224 date "2012-02-01" @default.
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- W3100443224 title "Focal rigidity of hyperbolic surfaces" @default.
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- W3100443224 doi "https://doi.org/10.5186/aasfm.2012.3724" @default.
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