0000000001210656

AUTHOR

Bernhard Leeb

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Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings

1997

Abstract We study quasi-isometries between products of symmetric spaces and Euclidean buildings. The main results are that quasi-isometries preserve the product structure, and that in the irreducible higher rank case, quasi-isometries are at finite distance from homotheties.

Mostow rigidity theoremPure mathematicsEuclidean spaceGeneral MathematicsMathematical analysisGeneral MedicineCurvatureHomothetic transformationEuclidean distanceRigidity (electromagnetism)Number theorySymmetric spaceEuclidean geometryIsometryMathematics::Metric GeometryEuclidean plane isometryMathematicsPublications mathématiques de l'IHÉS
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