Results 11 to 20 of about 402 (139)
Coincidence theory for spaces which fiber over a nilmanifold [PDF]
Fixed Point Theory and Applications, 2004 Let Y be a finite connected complex and p:Y→N a fibration over a compact nilmanifold N. For any finite complex X and maps f,g:X→Y, we show that the Nielsen coincidence number N(f,g) vanishes if the Reidemeister coincidence number R(pf,pg) is ...
Peter Wong
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Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
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Exponential mixing of nilmanifold automorphisms [PDF]
Journal d'Analyse Mathématique, 2014 We study dynamical properties of automorphisms of compact nilmanifolds and prove that every ergodic automorphism is exponentially mixing and exponentially mixing of higher orders. This allows to establish probabilistic limit theorems and regularity of solutions of the cohomological equation for such automorphisms.
Gorodnik (Gorodnyk), Alexander +1 more
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On generalized Gauduchon nilmanifolds [PDF]
Differential Geometry and its Applications, 2017 We construct invariant generalized Gauduchon metrics on the product of two complex nilmanifolds that do not necessarily admit this kind of metrics. In particular, we prove that the product of a locally conformal Kähler nilmanifold and a balanced nilmanifold admits a generalized Gauduchon metric.
A. Latorre, L. Ugarte, R. Villacampa
openaire +5 more sources
Affine Anosov Diffeomorphims of Affine Manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds.
Aristide Tsemo
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The Lalonde–McDuff conjecture for nilmanifolds [PDF]
Differential Geometry and its Applications, 2008 We prove that any Hamiltonian bundle whose fiber is a nilmanifold c-splits.
Stȩpień, Zofia
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Exponential multiple mixing for commuting automorphisms of a nilmanifold [PDF]
, 2023 Let $l\in \mathbb{N}_{\geq 1}$ and $\alpha : \mathbb{Z}^l\rightarrow \text{Aut}(\mathscr{N})$ be an action of $\mathbb{Z}^l$ by automorphisms on a compact nilmanifold $\mathscr{N}$. We assume the action of every $\alpha(z)$ is ergodic for $z\in \mathbb{Z}
Bénard, Timothée, Varjú, Péter P.
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On the Real Homotopy Type of Generalized Complex Nilmanifolds
Mathematics, 2020 We prove that for any n≥4, there are infinitely many real homotopy types of 2n-dimensional nilmanifolds admitting generalized complex structures of every type k, for 0≤k≤n.
Adela Latorre +2 more
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Multiple recurrence and convergence without commutativity
Journal of the London Mathematical Society, Volume 107, Issue 5, Page 1635-1659, May 2023., 2023 Abstract We establish multiple recurrence and convergence results for pairs of zero entropy measure preserving transformations that do not satisfy any commutativity assumptions. Our results cover the case where the iterates of the two transformations are n$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
wiley +1 more source