Results 101 to 110 of about 402 (139)
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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On isospectral deformations on nilmanifolds [PDF]
Séminaire de théorie spectrale et géométrie, 1991 openaire +1 more source
Anosov diffeomorphisms on nilmanifolds
Proceedings of the American Mathematical Society, 1973 The purpose of this paper is to give necessary conditions on the map induced by an Anosov diffeomorphism of a nilmanifold on its fundamental group.
Anthony Manning
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Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms
Discrete and Continuous Dynamical Systems, 2016 In this paper, we study the periodic and eventually periodic points of affine infra-nilmanifold endomorphisms. On the one hand, we give a sufficient condition for a point of the infra-nilmanifold to be (eventually) periodic.
Jonas Dere
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Central idempotent measures on a nilmanifold [PDF]
Journal of Functional Analysis, 1980 A characterization of the central idempotent measures on a nilmanifold which generalizes the results of Rudin and Cohen for locally compact Abelian groups is proved.
Richard Penney
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Free actions of finite groups on the 3-dimensional nilmanifold [PDF]
Topology and Its Applications, 2004 We study free actions of finite groups on the standard 3-dimensional nilmanifold. By the works of Bieberbach and Waldhausen, this classification problem is reduced to classifying normal nilpotent subgroups of all almost Bieberbach groups of finite index,
Shin, Joonkook +3 more
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Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms [PDF]
Journal of Dynamics and Differential EquationsUnder some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant unstable bundle, the existence of topological conjugacy to its linear part,
Li, Wenchao, Gu, Ruihao
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AFFINE STRUCTURES ON NILMANIFOLDS
International Journal of Mathematics, 1996We investigate the existence of affine structures on nilmanifolds Γ\G in the case where the Lie algebra g of the Lie group G is filiform nilpotent of dimension less or equal to 11. Here we obtain examples of nilmanifolds without any affine structure in dimensions 10, 11. These are new counterexamples to the Milnor conjecture.
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1992
The author uses the techniques of rational homotopy theory to prove that for a nilmanifold \(M\), we have: \(\dim M=\text{rank}(\pi_ 1(M))=\text{cat}(M)=e_ 0(M)\). Here \(e_ 0(M)\) is the invariant introduced by Toomer and defined as the largest integer \(p\) such that \(E^{p,*}_ \infty\neq 0\) in the Moore spectral sequence: \(\text{Tor}_{H^*(\Omega M;
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The author uses the techniques of rational homotopy theory to prove that for a nilmanifold \(M\), we have: \(\dim M=\text{rank}(\pi_ 1(M))=\text{cat}(M)=e_ 0(M)\). Here \(e_ 0(M)\) is the invariant introduced by Toomer and defined as the largest integer \(p\) such that \(E^{p,*}_ \infty\neq 0\) in the Moore spectral sequence: \(\text{Tor}_{H^*(\Omega M;
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A Decomposition Theorem for Complex Nilmanifolds
Canadian Mathematical Bulletin, 1987AbstractA complex nilmanifold X is isomorphic to a product X ⋍ ℂp x N/┌, where N is a simply connected nilpotent complex Lie group and ┌ is a discrete subgroup of N not contained in a proper connected complex subgroup of N. The pair (N, ┌) is uniquely determined up to holomorphic group isomorphisms.
Loeb, Jean-Jacques +2 more
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