- Journal Article
To any two-dimensional rational plane in four-dimensional space one can naturally attach a point in the Grassmannian Gr(2,4) and four shapes of lattices of rank two. Here, the first two lattices originate from the plane and its orthogonal complement, and the second two essentially arise from the accidental local isomorphism between SO(4) and SO(3)×SO(3). As an application of a recent result of Einsiedler and Lindenstrauss on algebraicity of joinings, we prove simultaneous equidistribution of all of these objects under two splitting conditions. Show more
Journal / seriesDuke Mathematical Journal
Pages / Article No.
PublisherDuke University Press
SubjectCM points; equidistribution; ergodic theory; glue group; number theory; planes in four-space
Organisational unit03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
152819 - Equidistribution and dynamics on homogeneous spaces (SNF)
178958 - Dynamics on homogeneous spaces and number theory (SNF)
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Is new version of: http://hdl.handle.net/20.500.11850/391756
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