Results 91 to 100 of about 402 (139)
Expanding maps and non-trivial selfcovers on infra-nilmanifolds
, 2016 Every expanding map on a closed manifold is topologically conjugate to an expanding map on an infra-nilmanifold, but not every infra-nilmanifold admits an expanding map.
Deré, Jonas, Dekimpe, Karel
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Thed-invariant of compact nilmanifolds
Inventiones Mathematicae, 1984 Let G be a simply connected nilpotent Lie group and \(\Gamma\) a discrete subgroup such that G/\(\Gamma\) is compact. Then a choice of an orientation provides G/\(\Gamma\) with a stable framing. In this note it is shown that the Adams-d-invariant d[G/\(\Gamma\) ] vanishes (if dim G\(>2)\).
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RESTRICTION PROBLEMS ON THE THREE-DIMENSIONAL HEISENBERG NILMANIFOLD
In this paper, we prove a spectral restriction theorem on the three-dimensional Heisenberg nilmanifold. Since this manifold is an S 1 -bundle over the flat torus T2 , the result provides a sub-elliptic counterpart of Zygmund's restriction theorem on T2 ...
Bahouri, Hajer, Fischer, V, Éronique
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Affine almost automorphic actions on compact nilmanifolds
, 2015 We discuss conditions under which an affine automorphism of a compact nilmanifold is almost automorphic, and the structure of such automorphisms from dynamical as well as algebraic points of ...
SHARMA, P, SHAH, R, DANI, SG
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Applications of nilmanifold theory to Diophantine approximations
, 1972 We indicate one method for applying harmonic analysis of nilmanifolds to problems of uniform distribution mod 1 \bmod \;1 in R.
Jonathan Brezin
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The $R_{\infty}$ property for infra-nilmanifolds
, 2009 In this paper, we investigate the finiteness of the Reidemeister number $R(f)$ of a selfmap $f\colon M\to M$ 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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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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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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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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