Results 31 to 40 of about 796 (142)
Coincidence theory for infra-nilmanifolds [PDF]
, 2010 D. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given selfmap f on an infra-nilmanifold, K.B. Lee provides a criterion to determine whether N(f)=|L(f)|. Using this criterion, D. Anosov's theorem has been generalised
Karel Dekimpe +3 more
core +1 more source
Analytic torsion of nilmanifolds with (2,3,5) distributions [PDF]
, 2023 We consider generic rank two distributions on 5-dimensional nilmanifolds, and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.Comment: 32 ...
Haller, Stefan
core +1 more source
Equidistribution of affine random walks on some nilmanifolds
, 2021 We study quantitative equidistribution in law of affine random walks on nilmanifolds, motivated by a result of Bourgain, Furman, Mozes and the third named author on the torus.
He, Weikun +2 more
core +1 more source
On the Signature of the Ricci Curvature on Nilmanifolds [PDF]
Transformation Groups, 2022 11 ...
Arroyo, Romina M., Lafuente, Ramiro A.
openaire +3 more sources
Compact symplectic nilmanifolds associated with graphs [PDF]
, 2009 In this paper we consider 2-step nilpotent Lie algebras, Lie groups and nilmanifolds associated with graphs. We present a combinatorial construction of the second cohomology group for these Lie algebras.
Pouseele, Hannes +3 more
core +1 more source
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 +3 more sources
Deformations of astheno-Kähler metrics
Complex Manifolds, 2023 The property of admitting an astheno-Kähler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold.
Sferruzza Tommaso
doaj +1 more source
Duality of Hodge numbers of compact complex nilmanifolds
Complex Manifolds, 2015 A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Yamada Takumi
doaj +1 more source
D-Branes in Para-Hermitian Geometries
Universe, 2022 We introduce T-duality invariant versions of D-branes in doubled geometry using a global covariant framework based on para-Hermitian geometry and metric algebroids.
Vincenzo Emilio Marotta +1 more
doaj +1 more source
Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
doaj +1 more source