Results 61 to 70 of about 317 (142)
Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations
, 1998 Let us consider a compact orientable manifold M and (f,g) a pair of selfmaps of M. When M belongs to a nilpotent class of compact manifolds, so in particular if M is a nilmanifold.
Gonçalves, Daciberg L.
core +1 more source
A common fixed point theorem for commuting expanding maps on nilmanifolds
Electronic Journal of Differential Equations, 2005 A self-map $f$ of a compact connected manifold $M$ is expanding if it locally expands distances with respect to some metric. We consider the case when $M$ is a nilmanifold and we discuss a new common fixed point theorem for two expanding maps which ...
Roberto Tauraso
doaj
Killing Forms on 2-Step Nilmanifolds [PDF]
The Journal of Geometric Analysis, 2019 We study left-invariant Killing $k$-forms on simply connected $2$-step nilpotent Lie groups endowed with a left-invariant Riemannian metric. For $k=2,3$, we show that every left-invariant Killing $k$-form is a sum of Killing forms on the factors of the de Rham decomposition. Moreover, on each irreducible factor, non-zero Killing $2$-forms define (after
del Barco, Viviana, Moroianu, Andrei
openaire +2 more sources
Minimal models of nilmanifolds
, 1989 In this paper we first determine minimal models of nilmanifolds associated with given rational nilpotent Lie algebras. Then we study some properties of nilmanifolds through their associated Lie algebras and minimal models. In particular, we will see that
Keizo Hasegawa
core +1 more source
Anosov diffeomorphisms on nilmanifolds
, 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
core +1 more source
On the Moore Formula of Compact Nilmanifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let $G$ be a connected and simply connected two-step nilpotent Lie group and $Γ$ a lattice subgroup of $G$. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition of the quasi-regular representation ${\rm Ind}_Γ^G(1)$. Extending then the Abelian case.
openaire +4 more sources
There are only finitely many infra-nilmanifolds under each nilmanifold: a new proof
Indagationes Mathematicae, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dekimpe, Karel +2 more
openaire +1 more source
Smooth Models for Certain Fibered Partially Hyperbolic Systems [PDF]
This thesis studies the existence of smooth models for fibered partially hyperbolic systems. Fibered partially hyperbolic systems are partially hyperbolic diffeomorphisms that have an integrable center bundle, tangent to a continuous invariant fibration ...
Doucette, Margaret Emily
core +1 more source
Adeles and the spectrum of compact nilmanifolds [PDF]
Pacific Journal of Mathematics, 1989 Let G be a simply-connected, connected nilpotent Lie group. Let \(\Gamma\) be a discrete cocompact subgroup of G, and let \(\lambda\) be the quasi- regular representation of \(\Gamma\), i.e. the representation of G induced by the trivial one-dimensional representation of \(\Gamma\). Then \(\lambda\) can be decomposed into a direct sum \(\lambda =\sum m(
openaire +2 more sources
Equidistribution of dilated curves on nilmanifolds
Journal of the London Mathematical Society, 2018 Generalizing classic results for a family of measures in the torus, for a family $(μ_t)_{t\geq 0}$ of measures defined on a nilmanifold $X$, we study conditions under which the family equidistributes, meaning conditions under which the measures $μ_t$ converge as $t\to\infty$ in the weak$^\ast$ topology to the Haar measure on $X$.
Bryna Kra, Nimish A. Shah, Wenbo Sun
openaire +4 more sources