Results 21 to 30 of about 796 (142)
Gauge-Higgs models from nilmanifolds
Physics Letters B, 2022 We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to
Aldo Deandrea +2 more
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Eventually Periodic Points of Infra-Nil Endomorphisms
Fixed Point Theory and Applications, 2010 Hyperbolic toral automorphisms provide important examples of chaotic dynamical systems. Generalizing automorphisms on tori, we study (infra-)nil endomorphisms defined on (infra-)nilmanifolds.
Jong Bum Lee, Hyun Jung Kim, Ku Yong Ha
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Perfectoid Shimura varieties and the Calegari–Emerton conjectures
Journal of the London Mathematical Society, Volume 108, Issue 5, Page 1954-2000, November 2023., 2023 Abstract We prove many new cases of a conjecture of Calegari–Emerton describing the qualitative properties of completed cohomology. The heart of our argument is a careful inductive analysis of completed cohomology on the Borel–Serre boundary. As a key input to this induction, we prove a new perfectoidness result for towers of minimally compactified ...
David Hansen, Christian Johansson
wiley +1 more source
Chern-flat and Ricci-flat invariant almost Hermitian structure [PDF]
, 2010 We study nilmanifolds endowed with a Chern ...
Antonio J. Di Scala +3 more
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The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group
Fixed Point Theory and Applications, 2006 We prove that N(f)=|L(f)| for any continuous map f of a given infranilmanifold with Abelian holonomy group of odd order. This theorem is the analogue of a theorem of Anosov for continuous maps on nilmanifolds.
H. Pouseele, B. De Rock, K. Dekimpe
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Multiple recurrence and convergence without commutativity
Journal of the London Mathematical Society, Volume 107, Issue 5, Page 1635-1659, May 2023., 2023 Abstract We establish multiple recurrence and convergence results for pairs of zero entropy measure preserving transformations that do not satisfy any commutativity assumptions. Our results cover the case where the iterates of the two transformations are n$n$ and nk$n^k$, respectively, where k⩾2$k\geqslant 2$, and the case k=1$k=1$ remains an open ...
Nikos Frantzikinakis, Bernard Host
wiley +1 more source
Mathematika, Volume 69, Issue 1, Page 250-285, January 2023., 2023 Abstract We introduce a class of multiplicative functions in which each function satisfies some statistic conditions, and then prove that the above functions are not correlated with finite degree polynomial nilsequences. Besides, we give two applications of this result. One is that the twisting of coefficients of automorphic L‐function on GLm(m⩾2)$GL_m
Xiaoguang He, Mengdi Wang
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Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures
Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1862-1872, October 2022., 2022 Abstract We show that the existence of a left‐invariant pluriclosed Hermitian metric on a unimodular Lie group with a left‐invariant abelian complex structure forces the group to be 2‐step nilpotent. Moreover, we prove that the pluriclosed flow starting from a left‐invariant Hermitian metric on a 2‐step nilpotent Lie group preserves the Strominger ...
Anna Fino +2 more
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Coincidence Wecken Property for Nilmanifolds [PDF]
Acta Mathematica Sinica, English Series, 2018 Let $f,g:X\to Y$ be maps from a compact infra-nilmanifold $X$ to a compact nilmanifold $Y$ with $\dim X\ge \dim Y$. In this note, we show that a certain Wecken type property holds, i.e., if the Nielsen number $N(f,g)$ vanishes then $f$ and $g$ are deformable to be coincidence free.
Gonçalves, Daciberg, Wong, Peter
openaire +3 more sources
Constructing infra-nilmanifolds admitting an Anosov diffeomorphism [PDF]
, 2011 In this paper we establish an algebraic characterization of those infra-nilmanifolds modeled on a free c-step nilpotent Lie group and with an abelian holonomy group admitting an Anosov diffeomorphism.
Verheyen, Kelly +3 more
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