Tootfinder

The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds
Isolda Cardoso, Ana Cosgaya, Silvio Reggiani
https://arxiv.org/abs/2404.19177

The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds
A real Lie algebra is said to be characteristically solvable if its derivation algebra is solvable. We explicitly determine the moduli space of left-invariant metrics, up to isometric automorphism, for $6$-dimensional nilmanifolds whose associated Lie algebra is characteristically solvable. We also compute the corresponding full isometry groups. For each left-invariant metric on these nilmanifolds we compute the index and distribution of symmetry. In particular, we find the first known examples…

2.
Nostalgeek fut un échec. Selon les utilisateurs, l'expérience en LER™️ (Lively Emulated Reality), vendue Š prix d'or, ne tenait pas ses promesses de « revivre dans toute l'authenticité du réel » le mieux-avant. Il était passé complètement sous le radar des études de marché que, malgré leur prétendue #nostalgie, la plupart des gens n'avait nullement voyagé ou évolué, ils s'…

wo ist die Frau von Nawalny - MetaGer
https://metager.de/meta/meta.ger3?eingabe=wo ist die Frau von Nawalny&mgv=6a9ba261ffaf533e90d5d66e2f2c8e25&ua=1

#PariserKommune 1871,[1] aber auch Antidepressiva, Aversionen schürendes Führungspersonal, Führerscheine, (Neo-Re-)Militarisierung, Faschisierung in Mitteleuropa, Radikalisierung kleinbürgerlicher Mittelschichten 2024. Foto: Schwarzweiß, Foto vom Foto einer teil-inszenierten Barrikade in der Chaussée Ménilmontant mit Bewaffneten, 18. März 1871, eine Tablettenbox.

An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds
Karel Dekimpe, Lore De Weerdt
https://arxiv.org/abs/2404.14889 https…

An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds
In [8,9], the authors developed a nice formula to compute the Nielsen number of a self-map on an infra-nilmanifold. For the case of nilmanifolds this formula was extended to $n$-valued maps in [4]. In this paper, we extend these results further and establish the averaging formula to compute the Nielsen number of any $n$-valued affine map on an infra-nilmanifold.

#PariserKommune 1871,[1] aber auch Antidepressiva, Aversionen schürendes Führungspersonal, Führerscheine, (Neo-Re-)Militarisierung, Faschisierung in Mitteleuropa, Radikalisierung kleinbürgerlicher Mittelschichten 2024. Foto: Schwarzweiß, Foto vom Foto einer teil-inszenierten Barrikade in der Chaussée Ménilmontant mit Bewaffneten, 18. März 1871, eine Tablettenbox.

On geodesic orbit nilmanifolds
Yu. G. Nikonorov
https://arxiv.org/abs/2402.17548 https://arxiv.org/pdf/2402.17548

On geodesic orbit nilmanifolds
The 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 $10$.

This https://arxiv.org/abs/2401.00654 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Global rigidity for some partially hyperbolic abelian actions with 1-dimensional center
We obtain a global rigidity result for abelian partially hyperbolic higher rank actions on certain $2-$step nilmanifolds $X_Γ$. We show that, under certain natural assumptions, all such actions are $C^{\infty}-$conjugated to an affine model. As a consequence, we obtain a centralizer rigidity result, classifying all possible centralizers for any $C^{1}-$small perturbation of an irreducible, affine partially hyperbolic map on $X_Γ$. Along the way, we also prove two results of independent intere…

This https://arxiv.org/abs/2401.00654 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Global rigidity for some partially hyperbolic abelian actions with 1-dimensional center
We obtain a global rigidity result for abelian partially hyperbolic higher rank actions on certain $2-$step nilmanifolds $X_Γ$. We show that, under certain natural assumptions, all such actions are $C^{\infty}-$conjugated to an affine model. As a consequence, we obtain a centralizer rigidity result, classifying all possible centralizers for any $C^{1}-$small perturbation of an irreducible, affine partially hyperbolic map on $X_Γ$. Along the way, we also prove two results of independent intere…

Rigidity of stable Lyapunov exponents for codimension one Anosov covering maps on nilmanifolds
Ruihao Gu, Wenchao Li
https://arxiv.org/abs/2404.04196 https…

Rigidity of stable Lyapunov exponents for codimension one Anosov covering maps on nilmanifolds
Let $Ψ$ be an endomorphism of a nilmanifold $M = N/Γ$. We show that the preimages of a point under $Ψ$ become dense exponentially if and only if $Ψ$ is totally non-invertible, which means $(M, Ψ)$ has no invertible factors of quotients of factors. As an application, let $f$ be a non-invertible Anosov covering map on $M$ with one-dimensional stable bundle, if $f$ has such linear part $Ψ$ and is topologically conjugate to $Ψ$, then every periodic point of $f$ admits the same stable Lyapuno…