Results 11 to 20 of about 317 (142)
Bulletin of the London Mathematical Society, 2016 We prove that if a compact nilmanifold $Γ\backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\mathbb{R}$.
Giovanni Bazzoni, Bazzoni G
core +6 more sources
International Mathematics Research Notices, 2014 9 pages, to appear in ...
CAPPELLETTI MONTANO, BENIAMINO +3 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
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
openaire +4 more sources
The Lalonde–McDuff conjecture for nilmanifolds
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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The doubled geometry of nilmanifold reductions [PDF]
Journal of High Energy Physics, 2019 A class of special holonomy spaces arise as nilmanifolds fibred over a line interval and are dual to intersecting brane solutions of string theory. Further dualities relate these to T-folds, exotic branes, essentially doubled spaces and spaces with R ...
N. Chaemjumrus, C.M. Hull
doaj +4 more sources
The anomaly flow on nilmanifolds [PDF]
Annals of Global Analysis and Geometry, 2021 We study the Anomaly flow on $2$-step nilmanifolds with respect to any Hermitian connection in the Gauduchon line. In the case of flat holomorphic bundle, the general solution to the Anomaly flow is given for any initial invariant Hermitian metric. The solutions depend on two constants $K_1$ and $K_2$, and we study the qualitative behaviour of the ...
Mattia Pujia, Luis Ugarte
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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
Viviana del Barco +2 more
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On the Signature of the Ricci Curvature on Nilmanifolds [PDF]
Transformation Groups, 2022 11 ...
Arroyo, Romina M., Lafuente, Ramiro A.
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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