Results 81 to 90 of about 317 (142)
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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On Low-Dimensional Solvmanifolds
, 2009 A nilmanifold resp. solvmanifold is a compact homogeneous space of a connected and simply-connected nilpotent resp. solvable Lie group by a lattice, i.e. a discrete co-compact subgroup.
Bock, Christoph
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Preserving asphericity of virtually nilpotent spaces under P-localization
, 2003 For a set of prime numbers P, we study when the P-localization of an Eilenberg–Mac Lane space with virtually nilpotent fundamental group is again aspherical.
Descheemaeker, A., Malfait, W.
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Anisotropic spaces and nilmanifold automorphisms
, 2023 We introduce anisotropic Banach spaces on Heisenberg nilmanifolds and study the resonance spectrum associated to partially hyperbolic automorphisms. In this work we describe an alternative proof of the spectrum which takes advantage of geometric-style ...
Butterley, Oliver, Kim, Minsung
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Nilpotent aspherical Sasakian manifolds
We show that every compact aspherical Sasakian manifold with nilpotent fundamental group is diffeomorphic to a Heisenberg nilmanifold.23 pages, to appear in ...
De Nicola, Antonio +3 more
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Generelized complex structures on nilmanifold [PDF]
, 2017 La géométrie complexe généralisée est une généralisation de la géométrie complexe obtenue en considérant des structures complexes sur le fibré généralisé T + T*, plutôt que sur le fibré tangent T. Cette géométrie nouvellement définie fournit un language
Alnouri, Raghad
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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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Harmonic analysis on nilmanifolds
, 1970 We compute, using a device of A. Weil, an explicit decomposition of L 2 {L^2} of a nilmanifold into irreducible translation-invariant subspaces. The results refine previous work of C. C.
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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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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