6533b86efe1ef96bd12cbf89

RESEARCH PRODUCT

Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings

Bruce KleinerBernhard Leeb

subject

Mostow rigidity theoremPure mathematicsEuclidean spaceGeneral MathematicsMathematical analysisGeneral MedicineCurvatureHomothetic transformationEuclidean distanceRigidity (electromagnetism)Number theorySymmetric spaceEuclidean geometryIsometryMathematics::Metric GeometryEuclidean plane isometryMathematics

description

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.

yearjournalcountryeditionlanguage
1997-03-01Publications mathématiques de l'IHÉS
https://doi.org/10.1007/bf02698902