Results 71 to 80 of about 402 (139)

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

Nil-equivariant tropological sigma models on filtered geometries

Journal of High Energy Physics
We investigate the behavior of tropological (tropical topological) sigma models on higher dimensional target spaces and show that higher dimensional spaces explicitly admit nested Maslov dequantizations which lead to nontrivial anisotropic filtration ...
Emil Albrychiewicz, Andrés Franco Valiente, Christopher Stites   +2 more
doaj   +1 more source

On the Analytic Structure of Commutative Nilmanifolds [PDF]

The Journal of Geometric Analysis, 2015
In the classification theorems of Vinberg and Yakimova for commutative nilmanifolds, the relevant nilpotent groups have a very surprising analytic property. The manifolds are of the form $G/K = N \rtimes K/K$ where, in all but three cases, the nilpotent group $N$ has irreducible unitary representations whose coefficients are square integrable modulo ...
openaire   +4 more sources

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

Coincidence theory for infra-nilmanifolds [PDF]

, 2010
D. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given selfmap f on an infra-nilmanifold, K.B. Lee provides a criterion to determine whether N(f)=|L(f)|. Using this criterion, D. Anosov's theorem has been generalised
Karel Dekimpe, Penninckx, Pieter, Dekimpe, Karel, Pieter Penninckx   +3 more
core   +1 more source

What an infra-nilmanifold endomorphism really should be . . .

, 2012
Infra-nilmanifold endomorphisms were introduced in the late sixties. They play a very crucial role in dynamics, especially when studying expanding maps and Anosov diffeomorphisms.
Dekimpe, Karel
core  

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
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

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

Complex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source