【摘 要】
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In this talk,we introduce the spectrally strong rigidity for geodesic metrics on a closed surface with genus at least two.We show the spectrally strong rigi
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In this talk,we introduce the spectrally strong rigidity for geodesic metrics on a closed surface with genus at least two.We show the spectrally strong rigidity for quadratic differential metrics(metrics induced by holomorphic quadratic differentials).That is,if there is an inequality between the marked length spectra of two such metrics,then the metrics are isotopic.Such kind of rigidity phenomenon appears in many areas,e.g.,Teichm”uller theory,the study of negatively curved Riemannian metrics,PDE,ergodic theory and dynamical system.
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