Results 91 to 100 of about 317 (142)
The R∞ property for infra-nilmanifolds
, 2009 In this paper, we investigate the finiteness of the Reidemeister number R(f) of a selfmap f:M → M on an infra-nilmanifold M. We show that the Reidemeister number of an Anosov diffeomorphism on an infra-nilmanifold is always finite.
De Rock, Bram +2 more
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Primary projections on L2 of a nilmanifold
, 1979 Let N denote a connected, simply connected nilpotent Lie group with discrete cocompact subgroup Γ. Let U denote the quasi-regular representation on N on L2(NΓ). L2(NΓ) can be written as a direct sum of primary subspaces with respect to U.
Jenkins, J.W
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Harmonic Analysis On Heisenberg Nilmanifolds
, 2009 In these lectures we plan to present a survey of certain aspects of harmonic analysis on a Heisenberg nilmanifold Gammakslash}H-n. Using Weil-Brezin-Zak transform we obtain an explicit decomposition of L-2 (Gammakslash}H-n) into irreducible subspaces
Thangavelu, Sundaram
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Spherical distributions on nilmanifolds
Journal of Functional Analysis, 1978 AbstractLet N be a connected nilpotent Lie group and Γ be a discrete subgroup for which M = Γ\N is compact. Let R be the regular representation of N in L2(M). Projections onto primary (irreducible) subspaces of R are given by convolution against distributions (the spherical distributions).
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Welke infra-nilvariëteiten laten een expanderende afbeelding of een Anosov diffeomorfisme toe?
, 2015 Expanding maps and Anosov diffeomorphisms are important types of dynamical systems since they were among the first examples with structural stability and chaotic behavior.
Deré, J.
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Manifolds with small Dirac eigenvalues are nilmanifolds
, 2006 a paraitre dans Annals of Global Analysis and GeometryConsider the class of $n$-dimensional Riemannian spin manifolds with bounded sectional curvatures and bounded diameter, and almost non-negative scalar curvature. Let $r=1$ if $n=2,3$ and $r=2^{[n/2]-1}
Ammann, Bernd, Sprouse, Chad
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Anosov automorphisms on compact nilmanifolds associated with graphs [PDF]
, 2004 We associate with each graph (S,E) a 2-step simply connected nilpotent Lie group N and a lattice Γ in N. We determine the group of Lie automorphisms of N and apply the result to describe a necessary and sufficient condition, in terms of the graph, for ...
Dani, S. G., Mainkar, Meera G.
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Minimal metrics on nilmanifolds
, 2004 A left invariant metric on a nilpotent Lie group is called minimal, if it minimizes the norm of the Ricci tensor among all left invariant metrics with the same scalar curvature. Such metrics are unique up to isometry and scaling and the groups admitting a minimal metric are precisely the nilradicals of (standard) Einstein solvmanifolds.
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On geodesic orbit nilmanifolds
Journal of Geometry and PhysicsThe paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which admits geodesic orbit metrics. The minimum dimension of groups in the constructed families is $10$.
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