Abstract:
Three-dimensional closed hyperbolic manifolds are geodesically rigid: if two metrics have the same geodesics then they are homothetic.
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Received: 16 March 2001
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Matveev, V. Geschlossene hyperbolische 3-Mannigfaltigkeiten sind geodätisch starr. manuscripta math. 105, 343–352 (2001). https://doi.org/10.1007/s002290100185
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DOI: https://doi.org/10.1007/s002290100185