Results 11 to 20 of about 1,765 (105)
Affine Anosov Diffeomorphims of Affine Manifolds
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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International Mathematics Research Notices, 2014 9 pages, to appear in ...
CAPPELLETTI MONTANO, BENIAMINO +3 more
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Bulletin of the London Mathematical Society, 2016 We prove that if a compact nilmanifold $ \backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\mathbb{R}$.
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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
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T-duality on nilmanifolds [PDF]
Journal of High Energy Physics, 2018 Abstract We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called Infinitesimal T -duality. As an application we deal with the problem of finding symplectic structures on
del Barco, Viviana Jorgelina +2 more
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Purely coclosed G2‐structures on nilmanifolds
Mathematische Nachrichten, Volume 296, Issue 6, Page 2236-2257, June 2023., 2023 Abstract We classify seven‐dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, endowed with left‐invariant purely coclosed G2‐structures. This is done by going through the list of all seven‐dimensional nilpotent Lie algebras given by Gong, providing an example of a left‐invariant 3‐form φ which is a pure coclosed G2 ...
Giovanni Bazzoni +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
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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)$GL_m
Xiaoguang He, Mengdi Wang
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Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures
Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1862-1872, October 2022., 2022 Abstract We show that the existence of a left‐invariant pluriclosed Hermitian metric on a unimodular Lie group with a left‐invariant abelian complex structure forces the group to be 2‐step nilpotent. Moreover, we prove that the pluriclosed flow starting from a left‐invariant Hermitian metric on a 2‐step nilpotent Lie group preserves the Strominger ...
Anna Fino +2 more
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A compact non‐formal closed G2 manifold with b1=1$b_1=1$
Mathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022 Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
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